They didn't pay 9 dollars they paid 8 and 1/3 dollars. They were overcharged 1 and 2/3 dollars (Totaling 10). 1 dollar was returned to them. (2/3)×3 is 2. The Bell Boy kept it. Hint: What's 25÷3. P.S If you ask me, he did them a favor.
From the original 30$ you have to subtract 3$ to get 27$, so if you subtract the other 2$ from the bellboy you would get the original price of 25$. So there is no missing dollar but it makes it look like there is.
If the change back was $5, not everyone payed $9. Someone payed $10, two others payed $9, and the bell boy stole $2. The trick was believong that the change back and what the bell boy gave back were the same.
@@jinko17bro from the guests' perspectives they did pay $27 ($9 each). the thing is they don't know they actually paid $25 because the bell boy stole them $2. basically, the riddle is tricking our brain into thinking that the $27 dollars that the guests THINK they paid is actually in the hotel manager's pocket; when in fact the hotel manager kept only $25... in a nutshell no one has $27 dollars, therefore the logic maintaining the illusion of a paradox no longer exist
The answer is there is no missing dollar. The confusion arises from adding up unrelated amounts and trying to reconcile them with the total cost of the room.
They are related. 3 people paid 10 each and got 1 dollar each back, meaning there's 27 dollars accounted for out of their 30. You don't seem to understand the question.
@@br41nc3ll but did they pay all 27 dolars to the hotel?? NO, 25 with hotel 2 with bellboy which makes the 27 they spent, add the 3 dollars returned = 30 dollars.
I had this talk with my coworkers and none of them could figure it out. I got it pretty much instantly. I’m starting to wonder why I haven’t gotten a raise yet. 😂
To everyone who thinks they actually paid 28 dollars (25+3) they are wrong because the manager gave 5 dollars back (30-5) out of which the bellboy kept two dollars and gave the guests 3 back which means their original expenditure was 9 dollars which makes 9 × 3 27 now the bellboy kept 2 dollars which means 27-2 is 25( the original cost of the room ) which actually means that the question was just luring us and their is no missing dollar and the sum should not be equal to 30 .the way to find the answer was 9×3-2 which makes 25
Exactly. There are a couple different ways to explain this answer. The direction I went was that is the actual cost of the room was 25 and that was split between three people then that would be 8.33. The .33x 3= .99 and that is where the missing dollar is. The question is using the bellboy and the dollars to distract from the answer.
@@YordleDeathMetal Firstly , my answer is not wrong just because you think so Secondly , kindly keep your thoughts to yourself I was never interested in knowing them
There are $30 in circulation. After the guests' partial refund, there are still $30 in circulation. The manager has 25. They each have 1 (3x1=3 total) and the bus boy has 2. $30 = $30 no problem here. As far as the guests know, they think the price was $27 now because they were each given a dollar back. That's irrelevant as the manager still actually has $25 and the busboy still actually has the remaining $2. 27 = 27 then. There is no problem. If you are confused, its because you're trying to relate reality with irrelevant information (how much the guests THINK they paid for the room) and using the wrong sign olin the equation. -30 + 3 = -27 -27- -2 = -25, not -29. Which guess what? Is exactly how much the manager has (positive sign as he was the one paid)
The real answer: The actual room price was $25, but the bellboy made $2 by lying that the room was $27. You don't have to add $2 to make it $30, you have to subtract $2 from the $27 to make it $25
Another way to think about it is that if the room actually cost $25 then the guests should have paid $8.33 each. The fact that they paid $9 each means they overpaid by $0.67 cents. 3 x 0.67 = $2 which the bellboy has in his pocket.
@@1boboloco1 Actually 33 cents times 3 is 99 cents. You can't convert fractions of 3's into decimals. It's a common mathematical misconception that has been overlooked for decades... hell, I guess even centuries. They just didn't wanna admit that they couldn't solve it or they did admit that it couldn't be done and others just went ahead and said just round it up or somebody stole the "equation" and said that that was how you calculated it and you'd have to be a fool not to understand it... or hell, even 1 out of a dozen other options. No matter what, it's still used today even though it's mathematically incorrect.
If someone owes you a dollar and brings you 99 cents, you gonna make them get a penny? It's a dollar. But you're wrong about them being wrong for decades or centuries. You're confusing a simple monetary scale with mathematical actuality. There's more numbers that come after the first two that tell a much more detailed story about said number. Thing is, that much detail nobody cares about in daily life with the exception of machining and others.
The bellboy basically got a $2 tip. The cost of the room ($25) plus the tip to the bell boy ($2) = $27. The 28th, 29th, and 30th dollars were handed back to the guests as three $1 bills.
@What I see on my way to worknot true...tbe bell boy kept 2 not 3...so once they got there dollar back each they have paid 25+2(bell boy) that is 27 not 28
This is actually a word problem that tinkers with the order of operations and comes up with an error. You got it! $25 for the room and $5 is given to the bellboy to refund the patrons. If you say he returned to each one $1 - meaning they paid $10-$1=$9 x 3 = $27, you've run afoul of the order of operations. THE REALITY IS, the bellboy sold the room to the patrons for $27.
@@2001gogamecocksLol. Kids, the total is 25. 3 was returned, thats 28. Ballboy kept 2. 25+3+2=30. What is wrong with your generation?😂😅 There is Nooooo 1 missing.
There is no missing dollar. They paid $27, but the room cost $25. So the bell boy has the difference of 27 and 25. The guests got back the difference of 30 and 27.
Easy answer: The guests only had $30 in total, they give it all to the hotel. Now they have 0. The manager now has $30, but he gives back $5. Now he has 25. The bell boy takes $2 from the $5, so the bell boy has $2 now. The rest $3 goes to the guests. So manager has $25 Bell boy $2 Guests $3 25 + 3 + 2 = 30.
You have to think of the 3 guests as a collective pool of money. They started with $30, then they gave it to the hotel manager, leaving their money pool at $0 and the manager's at $30. Then the manager takes $5 out of his pool and returns it to them, from which the bellboy takes $2 and returns $3. Now the money pools stand at $3, $25 and $2 respectively, totalling $30. There is no missing dollar. It's a mistake to equate them getting $1 back each to them only having paid $27. They didn't; they paid $30. Think of it this way: If I have 30 apples, and I give them all to you, then you give me 3 back and give 2 to someone else, that doesn't change the fact that I still originally gave you 30 apples.
@@patrickedwards2078 well you can think of it anyway. Your explanation is a lot simpler and gets to the point. The trick in the problem is that they subtract three from 30 but add 2 instead which doesn’t make sense.
The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the person to whom the riddle is posed assumes those amounts should add up to 30, and is then surprised when they do not - there is, in fact, no reason why the (10 − 1) × 3 + 2 = 29 sum should add up to 30. The exact sum mentioned in the riddle is computed as: SUM = $9 (payment by Guest 1) + $9 (payment by Guest 2) + $9 (payment by Guest 3) + $2 (money in bellhop's pocket) The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30. To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location. Thus, the sensible sum can be expressed in this manner: $30 = $1 (inside Guest pocket) + $1 (inside Guest pocket) + $1 (inside Guest pocket) + $2 (inside bellhop's pocket) + $25 (hotel cash register) This sum does indeed come out to $30. To further illustrate why the riddle's sum does not relate to the actual sum, the riddle can be altered so that the discount on the room is extremely large. Consider the riddle in this form: Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $10. To rectify this, he gives the bellhop $20 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2. And $12 + $2 = $14 so, if the guests originally handed over $30, what happened to the remaining $16? Now it is more obvious that the question is quite unreasonable. One cannot simply add a couple of payments together and expect them to total an original amount of circulated cash. More economically, money is accounted by summing together all paid amounts (liabilities) with all money in one's possession (assets). That abstract formula holds regardless of the relative perspectives of the actors in this exchange. The guests of the hotel paid $27, but also have $3 among their pockets at the story's end. Their assets are $3, and their liabilities are $27 ($30 = 27 + 3). Thus, the original total is accounted for. From the perspective of the hotel clerk, the hotel has $25 in assets and lost $5 in liabilities ($30 = 25 + 5). From the perspective of the bellhop, his assets are $2, and his liabilities are $3 to guests and $25 to the register at the desk ($30 = 2 + 3 + 25). To illustrate the issue through equations: 1) 10 + 10 + 10 = 30 2) 10 + 10 + 10 = 25 + 2 + 3 3) 10 + 10 + 10 - 3 = 25 + 2 + 3 - 3 (adding -3 to both sides of the equation to cancel out the +3 on the right side) 4) 10 - 1 + 10 - 1 + 10 - 1 = 25 + 2 5) 9 + 9 + 9 = 25 + 2 (obs: tip to bellhop has already been paid) 6) 27 = 27 How the riddle is deceptive comes in line 7: 7) 9 + 9 + 9 = 25 + 2 8) 9 + 9 + 9 + 2 ≠ 25 (pushing +2 to the other side without inverting the sign) 9) 27 + 2 ≠ 25 10) 29 ≠ 25 How it should be: 7) 9 + 9 + 9 = 25 + 2 8) 9 + 9 + 9 -2 = 25 + 2 -2 (adding -2 to both sides of the equation to cancel the +2 on the right side, which means the bellhop returned the tip or gave a discount of $2) 9) 9 + 9 + 9 - 2 = 25 10) 27 - 2 = 25 11) 25 = 25 The puzzle should subtract the bellhop's tip from the $27 rather than add it.
dude, total overkill, BUT perfectly executed. It was great how you illustrated each perspective, that's definately a thorough explanation. I cant see anyone saying "I don't get it". well done! high five!
I respect the dedication to all the typing but all you had to say was. The riddle master was a moron and said plus instead of minus when talking about the bell boys theft. You remove the bell boys $2 from the $27 the guests paid. It's not a clever trick. Just incompetent speaker.
1. The room originally costs $30. 2. The manager realizes it should only be $25, so he gives the bellboy $5 in change. 3. Now, the room costs $25 and the bellboy has $5. 4. The bellboy gives $1 back to each of the three people, so they each receive $1. 5. The bellboy keeps the remaining $2 for himself. If we add up the $25 for the room, the $3 that the people received, and the $2 that the bellboy kept, it equals $30 in total. So, there's no missing dollar. It's just a matter of how we're looking at the numbers. 😊
There isn't a missing dollar, it's at trick question. They paid $27, which is $2 more than $25. All good. Each of the guests have $1, the bellboy has $2, and the hotel manager $25. 3⋅$1 + $2 + $25 = $30.
They gave the desk $30. Each contributed $10 initially. The cost was reduced by $5. The bellboy stole $2 The guests each got back $1, making their individual expense $9 each. The $25 kept by the manager, plus the $3 returned to the guests totals $28. There is no missing dollar. 25+3=28 The bellboy has the other $2, which accounts for the total of $30
@moonbubblegaming8372 There were 3 guests. The red herring that throws you off is that the guests now paid 9 dollars each 9*3=27. Because they initially paid 10 each and got a dollar back. But the manager has 25 the guests have 3 and the bell boy has 2. It adds up to 30 regardless. The bell boy probably knew you couldn't easily split 5 dollars 3 ways so he kept 2 for himself
@@JAVMusic1409 the bell boy got $5 to give the 3 guests. He took 2 ...5-2=3. Giving $1 to each guest. The hotel has $25 the bellboy has $2 and the guests have $1 each totaling $30....it's not a mystery
The question is deliberately misleading. Original expenditure by guests was 30$ or 10 dollars each. All 30$ went to hotel. After 3$ was returned to guests, total expenditure was 27$ or 9$ each. Of total expenditure of 27$, 25$ went to hotel and 2$ to bellboy. No missing dollar at all.
@@18632ewa8How did they pay 9$ each? That's 27, they only paid 25, so that would be 8,33 each, so the 5 would be divided 1,66 for each to make 30...except in other guy stole 2
You dont add the $2 to make it $29. You subtract the $2 that makes it $25. The guest paid $27, and the bellhop got $2, so the hotel charged $25. The reason the bellhop kept $2 was because he could not split $5 evenly between 3 guest, so he gave each guest $1 and kept the $2 as a tip for delivering the money to their room.
It’s because your adding it the way they want you to add it. The fact is 25 was the cost that leaves 5 dollars left. The guy went up to give them back the 5 realized it wouldn’t be able to split in three evenly,so he kept 2 now 2 subtract 5 leaves three which also bring the cost to 27. now he gives them the three which was intended to be split bringing the total to 30. That is the most accurate way to explain
The $5 refund meant that each person had paid $8.33. They each received $1 refund, so that accounts for 3 times $9.33, which is $28. Now add the $2 to reach the total of $30.
Considering the situation We know that the mistaken price is $30 dollars Then each contribution is 30/3 = $10 Then the actual price is$ 25 which makes the contribution 25/3 = $8.33 Now the bell stole the $2 dollars out of 5 So the remaining 3$ is distributed equally So we get each contribution 8.33+1 =9.33 And total amount now = 9.33*3=27.99~$ 28 Rest $2 are with the bell boy that makes it $2+$28=$30 Hence hotel has $25 Bell boy has $2 And guests have rest $3
The actual cost for the room is 1/3 of $25.00. Which is roughly $8.33. 8.33x3=$24.99 rounded up to 25.00, plus the dollar each got back is $28.00, leaving two dollars for the unscrupulous employee.
😂 yea there’s no missing dollar they tried to make it magically disappear when saying it was $27 they got back no they got $28 if the bellboy gave back a dollar each… $3, not $2. There’s no missing dollar
(Part 1) 10×3-5+2=27. (Part 2) 30-27=3. (Part 3) 3 people get $1 Dollar each. Problem solved. The word play confuses you with who gets what at the end. 9×3=27 but they get the 27, not you. You walk away with 3 dollars. 1 dollar per person. OMG I feel like I'm in school.
If you think about it visually, it helps. The dollar never "leaves", the dollar is just where you think it isn't. The question is trying to be a riddle, when it's just a math problem. 3x9 = 27 (think about that as the 25+2) and then the other 3 dollars are "refunded".
They paid 10$ each to pay the 30$, realize that he overcharge them by 5$ so the manager gave them back the 5$ and the bell boy took 2$ and gave them 1$ dollar each. Conclusion: There is no missing dollar.
If he hadn't stolen from them, they probably would have tipped him the $2 if only to avoid a nasty division problem. But now he's going to jail where he belongs.
Ok I will simplify it. The IQ test isn't "herp derp where is the dollar" The IQ test is actually whether you will realize that from the words of the question that there is no missing dollar. The moment you start overthinking it, you have fallen for the word trap of the IQ test and failed it.
It's cuz you're trying to add the $2 to it to get 30 instead of subtracting the $2 from it to get 25 because the actual price of the room was 25 not 30. Reword it if the hotel manager gave the bellboy $5 to bring back to them and the bellboy brought them the $5 then they would have paid $25 if they then tipped the bellboy $2 because they couldn't split $5 evenly between the three of them then you don't have a missing dollar it's all in the way that they're wording it and they're asking the wrong question at the end to try and trick you.
It's like I got 11 fingers I count down on one hand starting from 10... 10, 9, 8, 7, 6... And five on my other hand makes 11... Even though each hand only has five fingers
The wording of the question will trip you up. The cost was $25 plus a $2 "tip for the bellboy"... so they only should have paid $27 TOTAL, which is why they each got $1 ($3 total) in change. There never was any $29, but there WAS a $27. No dollar is missing because 25 + 2 + 3 = 30.
@@DanielW-he1fgnope, when you're calling 9 dollars on each for total 27, there are implied the 2 dollars of bellboy, + 3 dollars that actually returned to them is 30 dollars total. The 2 dollars of bellboy are implied in the 9 dollars each because they never returned to the 3 dudes.
no. the room was at 1 point thought to be ten each. but in actuality it is just over 8.333333 each. so the manager gave them 5 back. but the bell dude stole 2. so we must now think of the room costing total of 28. 9.33333333 each. the presumption is always lean on and ten and one but that is not at play here and we as people do not only have to pay in whole digits
@@playdat1643 correct, but it's not 28, it's 27, 9 each (8.999999 if you will) . I posted my reasoning in another coment, but in a nutshell is: If they have to pay 25 dollars, they can either pay 8.333333 each, or 2 pay 8 and the other pays 9. Either way, they end up paying 27, 9 each. - For 25/3 = 8.3333 2/3 = 0.6666 | 8.33333+0.66666 = 8.99999 = 9 x 3 = 27 - For 25 = 8+8+9 8+8+9+2 = 27 9+9+9 = 27 The "2" being the dollars of bellboy
The guests were due £1.66 back, they all said don't worry about the 66p so the bell boy got a £1.98 tip Edit £30 originally paid £5 overcharged £1.66 due to the 3 guests
It's a logic puzzle. It started at $10 per person ($30 total) but afterwards the total amount given after $1 per person is returned is $27 ($25 + $2 stolen by bb). The guests each THINK their share of the room is $9 ($27 total) but the actual cost is $8.33 ($25 total). It's all there -> $25 for room + $3 returned + $2 stolen by bb = $30.
@@Riesencookieno this explanation is senseless because 9.33 x 3 = 29.99 the penny remains missing. The actual answer is that the bellhops money is counted with the hotels not boys. The bellhop and the Hotels money equals 27 and each boy received 1 dollar back which is 3 equalling 30. The problem with the story is that it is assumed that the bell boys money counts with the boys money. But it doesn't it counts with the Hotels money. A response to this would naturally be how would the 3 boy split the $5. The answer would be there would be a penny left over but a dollar isn't missing.
No, that's incorrect. The cost of the room is not $8.33 because they got $1 back remember. As an accountant I can tell you that the answer is not in the coat per person but in not mixing in the initial payment in with the change. In accounting that would be 2 separate transactions and 2 seperate journal entries. First unlike many people's theories, they did originally pay $30. Turns out they paid an extra $5, so will be getting a $5 refund in change. So $30 - 25 = $5 change. So of the $5, $3 went to them and $2 went to the bell-hop. So that is simply $30 - $25 = $5. The five went $3 to them and $2 to that slick kleptomaniac bell-hop! You cannot use the equation of 9X3 = $27 + 2 because that doesn't account for the full payment received of $30 less the eventual $5 refund. This is why mathematics has things like order of operations, i.e. brackets around numbers.
@@stewartgates1133 this is correct as I mentioned there is no way to use the conclusion to solve the equation. The reason it is complexed is because normally in math you are able to work the problem backwards. There is no way to do that here. You need to return to the beginning and only work the problem from there. This is known as a mathematical default. It is a flaw in mathematics in which you need to default to the original premise of the equation.
The math was done incorrectly. Yes, 10-3=7; however, it should've been 10-2=8 since it's the bell boy that took $2. This leaves you with $3. 3+25=28, 28+2=30.
Don't focus on the wrong things. Compare total profits and losses. The 3 men paid $27, the hotel gained $25, and the bellhop stole $2. Totals: $27 profits and $27 loses.
@@user-ew5lq1er3v its a riddle. There are multiple hypothetical right answers to most riddles. Theres a few different ways to word this problem where it will obviously equal $30 which it should but the trick to this riddle is making people do the $9x3 guys payment. Also anytime i have said this riddle the bell boy gets tipped the $2 he doesnt steal it.
@@kevin9218they paid 30 (10 each) but each one of them got 1 Dollar back, so they paid 9 dollars each. Which is 27. The bell boy kept 2 Dollars. Where is the missing Dollar? 😂
@@formd7593 they paid 30, The hotel kept 25, they got 3 back, bellboy got 2. 25+3+2=30. No missing dollar. They are out $27, for a $25 room, the bellboy charged them a $2 tip
There's no missing dollar. They paid 30, it was reduced to 25, the boy took 2 making the total paid 27, then the 3 people each got a dollar back, so 30-3 = 25+2 = 9*3
That way it makes sense but the other way it doesn't, yet the numbers are the same. Depending on how the problem is phrased it does or doesn't have s solution, which is extremely weird.
@@alexmerel9924 there isn't a missing one dollar. The guests have 1 dollar each returned that they keep so they never spent $10 each. They only ever spent $27. $8.33 each for the room totaling $25 then 67 cent each tip to the bellboy equaling $2. 25+2=27. Then they each have $1 still to spend on something else. Making the $30. No missing dollar. Just badly worded designed to confuse.
@@alexmerel9924they paid $30, but the room costs only $25 so they got $3 back, $2 with the bell boy. There is no extra dollar. Or since they don't know the bell boy took $2 you can say they paid $27 and got $3 back. The question tricks you into adding the room price they paid (which should be 25 and not 27) with the money the bell boy took (Which should be part of the 27)
@@islamisamess6160its totally have the same conclusion, there is no a missing 1$ whether you use the calculator or just logic. the calculator will gave you a decimal points, 29.99$ to be exact, so you rounded it up to 30$. its the same concept but the calculator wont give you rounded numbers. the trick of this questions is by missleading the story with the question. it makes you presume that there is a missing $ but its actually no. and it makes things even more complicated with the calculation because of using the variable of "3".
I was told this riddle in school. The $2 in his pocket is part of the $27 they paid, so it can’t be counted. Therefore, the other $3 was given back to them.
There is no missing dollar, that $2 divided among three comes out to: 67¢ 67¢ 66¢ This means each of the 3 guests individually paid at the $25 rate: $8.33 $8.33 $8.34 So if they had got the whole $5 back it would be divided: $1.67 $1.67 $1.66 That is the problem about dividing expenses among odd number of people, most of the time someone is paying more than others. This is a simple but perfect example of auditing/forensic accounting.
You don't need to add the $2 to the $27 because the $2 was already included to the $27 in the first place. Remember, the hotel manager got the $25 and the bell boy kept the $2 which total to $27.
The dollar is lost in the assumption of the last statment. The true cost to the quests was 27 dollars. 2 to the bell, 25 to the hotel. The three dollar difference is returned and is not equal to the difference of the total cost and the bell boy. The last statment wants you to reference the true cost. True is 9x3 (27)
They did not pay 27. They only paid 25. And then they got 1 dollar each back. So that's 25 plus 3. They paid 28 dollars. And the bell boy got 2 dollars back.
@@patriot2372 What? Try reading again... I said the bellboy got $2. The guests got $3. The hotel got $25. That's $30. My math is correct, your logic is not.... Edit: typo
@@bubzilla6137 They started with 30 but got 5 back. The busboy got 2 and gave them 3. So they paid 25 and 3 which is 28 for them and 2 for the busboy. This is kind of a hustler question you got to be careful with your money
The $30 is irrelevant, the room costs $25 and the bell boy stole $2 so in total they spent $27. Plus the $3 they got back from the original $30, Vsauce2 did a video about this
The price of the room was $25 so they paid $8.33 each. When the bellboy gave them a dollar back it came to $9.33 each. The bellboy got $2 which came out to roughly $.67 each.
The bellboy's $2 was counted twice at the end. The $27 already had the $2 in there. Remember, the real price was $25, the bellboy kept $2, and returned $3 to the guests. 25+2+3=30
The error is in the question. The payment is $10x, with x being number of customers. That first doesn't change, but the problem indicates it does. It states it changes to 9x + 2. It actually changes to 10x-5+2 which does not equal that.
Starts at 30 total. Cashier has 25 the guys have 3 and the bell boy has 2. 25+3+2=30 there is no missing dollar. Each guy paid 9 each(27 total) and bell boy has 2 and cashier has 25(27 total).
You just have to see them as groups. One group is the manager and bell boy that end up with 30-3=27 or 25+2=27, depending how you want to look at it, and the other group is the three guys that each paid (10-1)*3=9*3=27. You can't mix the three guys and the bell boy because they're not on the same side of the transaction.
So, guest price = g, bellhop "handling" fee = h, refund = r. 3(g) - r + h = 3(10) - 5 + 2 = 27 $27 is $1 less for each guest than the original $30. Since the bellhop took $2, then the remaining refund ($3) is split evenly between the three guest, making the charge appear to be $9/ person.
You're all working on dividing the incorrect total. It should be 25/3 = 8.3333r. Multiply by 3 equals 25 = correct amount. They each should've received 1/3 of 5 = 1.6667. Eg 0.66667 x 3 = 2.0. The missing 2. Ignore the way the sum is half done (incorrectly
The three guests was meant to pay 1/3 of $25 each ($8.3333), so when they received a refund of $1, they each contributed $9.3333 for a total of $28. Plus the $2 taken by the bellboy for a total of $30. There is no missing dollar.
This is simple and an old one. It's all in how his math is incorrect. No missing dollar . Add 3 dollars to 25 you got 28 and the bell boy has the other 2. Dumbasses
The missing dollar isn't missing, you don't add the 2 the bellboy took because it was removed from the equation. They paid 9 each times 3 is 27 plus the 3 dollars returned to them is 30.
This is a trick testing whether you mess up between Debit and Credit. The 27 totally paid by 3 guests should not add up the 2 received by the bell boy, but should minus the 2 received by the bell boy. 27-2=25. This is because the payments by the 3 guests, $27, are of different and opposing nature with the bell boy's receipt of $2. This means, from the boss's point of view, 27 and 2 are not of the same mathematical nature (or correctly speaking, Accounting or Bookkeeping nature): 27 is paid by 3 guests (originally to boss), but 2 is received by bell boy (against the originally should-be receipts by boss). So it is misleading to add up 27 and 2, but 27 sould be subtracting the 2 out, to give 25, what the boss actually received.
My father told me this puzzle when I was about 8. My two older brothers could not solve it, but I did. This was my first taste of the joy of thinking and solving puzzles.
It was just a calculation problem. You need to divide 5 by 3 to give each one an equal amount. Then you subtract it from 10. Now if you multiply it by 3, you'll get 25. In other words, the bellboy lied and said the price was 27$. Now if you subtract the 2$ that he took, you get 25. 10*3=30 30-25=5 5÷3=1.66666667 10-1.66666667=8.33333333 8.33333333*3=25
There is no missing dollar. When there are changing nominal prices, the solution is to focus on “value”, not just nominal dollar amounts. $30 was never the cost of the room. In reality the real value calculation is: the clerk tells the men the cost of the room is $25 for the night ($8.33 per man), but each of the guests only has a $10 bill. The clerk has no change, but promises he will return $1.67 to each guest when he gets change. The bellboy gives each of the three guests $1. Each guest now has $9.33 in value (the one returned dollar and the $8.33 value of having a place to sleep for the night). 3 X $9.33 = $28. When the bellboy short-changes them, they say nothing because collectively they realize the bellboy “auto-tipped” himself $2 in value and they don’t want to get the kid fired over such a trivial loss of value of $0.67 each.
They overall paid $27 for a room that costs $25 and the remaining $2 went to the bell boy. The figure $29 was thrown into the question incorrectly to throw everyone off. ($27-$2 is correct, $27+$2 is meaningless)
People with an average IQ hear "27 + 2 is not 30" and then think about what the person is actually saying and have the confidence to know it's stupid. I don't think people are born stupid: but somewhere along the line they lost the confidence in their ability to think about things, question what they hear, and feel empowered to speak up about it. No one wants to look stupid, so a lot of people just go along with what they hear. Intelligence starts with being confident in your ability to think. Even the smartest people say, do, or calculate something incorrectly sometimes, but they don't let that discourage them. That means they continue learning more and more, and continue exercising their brain more and more and practising creative thinking. That leads to intelligence.
Guys to make it simple is they spent $27 total having $3 back from $30 = $27( $25 hotel and $2 bellboy tip). $27 / 3 = $9 ( $8,3 hotel each and $0,7 bellboy tip each)
Oh that’s easy, but let work it out the easy way. Out of the Three people let’s say the technically two of the three spent $9 which equals $18 and the third person technically paid $7, all together $18+$7=$25. However all three paid $10 each and over paid. Okay that’s the set up. Now if the bellboy did not keep $2 of the $5 owed the two that paid $10 would get $1 back and the third person would get back $3 but instead, the bellboy kept $2 of the $3 owed to the third person and just gave him $1 only. The answer to the question “What happened to the last dollar?” The answer is nothing happened to the $1, the bellboy owes that third person $2.
No missing dollar. The bellboy simply told the customers that the room only costs 27$. But in reality it should've only cost 25$, hence he gets to keep the 2$ (27-2)
They paid $25 to the hotel and $2 to the bellboy. That's $27. 9x3=27. The trick is that they _imply_ that the bellboy's $2 should be _added_ to the $27, for a total of $29, when, in fact, the $2 is _included within_ the $27. I.e., the ladies paid $25 to the hotel and $2 to the bellboy(involuntarily), totaling $27. The other $3 they got back, which is what lowered their payment from $30 to $27.
The three people paid $27 ($9 each). $2 went to the bellboy, $25 went to the hotel manager. $25 + $2 = $27. The question makes you think you have to add 27 + 2 = 29 but that's just to throw you off. It's actually 27 - 2 = 25.
@@platinumknight1you obviously don't understand what it means to get refunded a portion of what was originally paid, hence lowering the amount paid overall.
Technically they paid $27 but then the manager unintentionally gave the bell boy $2 so it works out. The hotel got $25, bellboy got $2 and the 3 guests got $3 back.
I have the true answer. First let's clarify some points. *There weren't 3 guests, but 2, since there were three people booking a hotel room, not 3 guests, so bellboy is a part of the trio. *They each paid 10 dollars (30 dollars in total), and got back 5 dollars, because the hotel price was actually 25 dollars. What happened is simply that bellboy had shared it equally at first, giving one to himself, and one to each of the two guests, leaving it at 28 dollars. Afterwards, bellboy decides to keep an extra 2 dollar, and has now 3 dollars, leaving the total $ at 30.
*Where's the missing dollar though??* 🤯
Huuuuge thank you to all my new members!! Hope you enjoy this one you guys!! Like and subscribe for more
They didn't pay 9 dollars they paid 8 and 1/3 dollars. They were overcharged 1 and 2/3 dollars (Totaling 10). 1 dollar was returned to them. (2/3)×3 is 2. The Bell Boy kept it. Hint: What's 25÷3.
P.S
If you ask me, he did them a favor.
no but thanks
Its no missing dollar. Bellboy took Two
The others 28
❤ I love you ❤ I just look at you and my IQ scores dropping fast... Soon I will be a happy man. 🎉
From the original 30$ you have to subtract 3$ to get 27$, so if you subtract the other 2$ from the bellboy you would get the original price of 25$. So there is no missing dollar but it makes it look like there is.
the hotel manager has $25, the guests $3 ($1 each) and the bell boy has $2... so the answer is there is no missing dollar, and nobody has $27.
If the change back was $5, not everyone payed $9. Someone payed $10, two others payed $9, and the bell boy stole $2. The trick was believong that the change back and what the bell boy gave back were the same.
They got to dollar back 😂
@@jinko17bro from the guests' perspectives they did pay $27 ($9 each). the thing is they don't know they actually paid $25 because the bell boy stole them $2. basically, the riddle is tricking our brain into thinking that the $27 dollars that the guests THINK they paid is actually in the hotel manager's pocket; when in fact the hotel manager kept only $25... in a nutshell no one has $27 dollars, therefore the logic maintaining the illusion of a paradox no longer exist
@@keatonburnette6200 Nah... they did get $3 back
@jinko17bro no mate, you're being tricked into thinking you're trying to reconcile back to 30, but it's actually 27
The answer is there is no missing dollar. The confusion arises from adding up unrelated amounts and trying to reconcile them with the total cost of the room.
That’s correct😅😅😅
They are related. 3 people paid 10 each and got 1 dollar each back, meaning there's 27 dollars accounted for out of their 30. You don't seem to understand the question.
@@br41nc3ll but did they pay all 27 dolars to the hotel?? NO, 25 with hotel 2 with bellboy which makes the 27 they spent, add the 3 dollars returned = 30 dollars.
@@br41nc3llthe unrelated amount added was 27 (the money they paid) and 2 (bus boy's money) the confusion is it's not 27+2 but 27-2
I had this talk with my coworkers and none of them could figure it out. I got it pretty much instantly. I’m starting to wonder why I haven’t gotten a raise yet. 😂
To everyone who thinks they actually paid 28 dollars (25+3) they are wrong because the manager gave
5 dollars back (30-5) out of which the bellboy kept two dollars and gave the guests 3 back which means their original expenditure was 9 dollars which makes 9 × 3 27 now the bellboy kept 2 dollars which means 27-2 is 25( the original cost of the room ) which actually means that the question was just luring us and their is no missing dollar and the sum should not be equal to 30 .the way to find the answer was 9×3-2 which makes 25
You have the most logical explanation.
Exactly. There are a couple different ways to explain this answer. The direction I went was that is the actual cost of the room was 25 and that was split between three people then that would be 8.33. The .33x 3= .99 and that is where the missing dollar is. The question is using the bellboy and the dollars to distract from the answer.
You’re adding way too many steps just to get the wrong answer… are you the American education system?
@@YordleDeathMetal Firstly , my answer is not wrong just because you think so
Secondly , kindly keep your thoughts to yourself I was never interested in knowing them
finally the correct answer
i was gonna type it out
There are $30 in circulation.
After the guests' partial refund, there are still $30 in circulation. The manager has 25. They each have 1 (3x1=3 total) and the bus boy has 2.
$30 = $30 no problem here.
As far as the guests know, they think the price was $27 now because they were each given a dollar back. That's irrelevant as the manager still actually has $25 and the busboy still actually has the remaining $2.
27 = 27 then. There is no problem.
If you are confused, its because you're trying to relate reality with irrelevant information (how much the guests THINK they paid for the room) and using the wrong sign olin the equation.
-30 + 3 = -27
-27- -2 = -25, not -29.
Which guess what? Is exactly how much the manager has (positive sign as he was the one paid)
The real answer: The actual room price was $25, but the bellboy made $2 by lying that the room was $27. You don't have to add $2 to make it $30, you have to subtract $2 from the $27 to make it $25
Exactly
I knew the key was in the construction of the equation but I could not figure how it was wrong. Thanks
Yes, I couldn't work out why the voice was adding $2.
It's as you said, subtract.
What bullshit. 🙄
If the Bell boy keeps $2 effectively making the room $25 +2 = $27 for the cost for the three guests
The real answer is that this symbor ($) comes BEFORE the number, not after.
Then each guest made a minibar purchase and owed the hotel an additional $637.
Lol
cheers... 🍺🥂🍻🍹🍾
😂😂
😅😅😅
😂
Explanation:
• initial : 30/3 = 10 was room cost.
• modified : 25/3 = 8.3 (approx) was room cost.
(you can't perfectly divide One/3 = 0.333333333... )
• difference: 10 - 8.3 (approx) = 1.7 (approx) waiter needs to return.
• waiter : returned 1 in place of 1.7 (approx)
• difference : 1.7 - 1 = 0.7
• waiters earning : 0.7 × 3 = 2.
• conclude : missing $ is with mf waiter.
The guests payed 27 dollars. 2 to the bell boy and 25 for the room. The remaining 3 was given back. All $30 still exist.
The most unbelievable part is a manager admitted their mistake.
My thoughts exactly
😂😂
😂😂😂😂😂😂
You think that was the most unbelievable part of this story? You mean the fact that the hotel room was $30 a night is more believable than that?
or that the greedy bellboy only took $2.
$30 room for 3 people means this took place in the 1920's.
Another way to think about it is that if the room actually cost $25 then the guests should have paid $8.33 each.
The fact that they paid $9 each means they overpaid by $0.67 cents. 3 x 0.67 = $2 which the bellboy has in his pocket.
Yes, they should have paid 8.33 each so .33 X 3= 1.00-- the missing $1 dollar.
@@1boboloco1 Actually 33 cents times 3 is 99 cents. You can't convert fractions of 3's into decimals. It's a common mathematical misconception that has been overlooked for decades... hell, I guess even centuries. They just didn't wanna admit that they couldn't solve it or they did admit that it couldn't be done and others just went ahead and said just round it up or somebody stole the "equation" and said that that was how you calculated it and you'd have to be a fool not to understand it... or hell, even 1 out of a dozen other options. No matter what, it's still used today even though it's mathematically incorrect.
@@MysteriousMadnessOfficial For all intents and purposes, 99 cents is a dollar.
@@The_Gallowglass in what world?
If someone owes you a dollar and brings you 99 cents, you gonna make them get a penny?
It's a dollar.
But you're wrong about them being wrong for decades or centuries. You're confusing a simple monetary scale with mathematical actuality. There's more numbers that come after the first two that tell a much more detailed story about said number.
Thing is, that much detail nobody cares about in daily life with the exception of machining and others.
The Bell Boy had to go mess everything up, not because he was greedy, but because he was unsure how to split $5 among three people.
The answer is that the manager don't know math💀
The bellboy basically got a $2 tip. The cost of the room ($25) plus the tip to the bell boy ($2) = $27. The 28th, 29th, and 30th dollars were handed back to the guests as three $1 bills.
3 loonies
$27 =$9*3
@What I see on my way to worknot true...tbe bell boy kept 2 not 3...so once they got there dollar back each they have paid 25+2(bell boy) that is 27 not 28
This is actually a word problem that tinkers with the order of operations and comes up with an error. You got it! $25 for the room and $5 is given to the bellboy to refund the patrons. If you say he returned to each one $1 - meaning they paid $10-$1=$9 x 3 = $27, you've run afoul of the order of operations. THE REALITY IS, the bellboy sold the room to the patrons for $27.
@@2001gogamecocksLol. Kids, the total is 25. 3 was returned, thats 28. Ballboy kept 2.
25+3+2=30. What is wrong with your generation?😂😅
There is Nooooo 1 missing.
There is no missing dollar. They paid $27, but the room cost $25. So the bell boy has the difference of 27 and 25. The guests got back the difference of 30 and 27.
Exactly
best explanation of this
@@dmarsh2k9 thanks
This is the first explanation that actually makes sense
Yeah, the addition at the end is misdirection.
Easy answer:
The guests only had $30 in total, they give it all to the hotel. Now they have 0.
The manager now has $30, but he gives back $5. Now he has 25.
The bell boy takes $2 from the $5, so the bell boy has $2 now.
The rest $3 goes to the guests.
So
manager has $25
Bell boy $2
Guests $3
25 + 3 + 2 = 30.
There are no missing dollar. What you are missing is math. 25 +3 + 2 = 30 😂
You have to think of the 3 guests as a collective pool of money. They started with $30, then they gave it to the hotel manager, leaving their money pool at $0 and the manager's at $30. Then the manager takes $5 out of his pool and returns it to them, from which the bellboy takes $2 and returns $3. Now the money pools stand at $3, $25 and $2 respectively, totalling $30. There is no missing dollar. It's a mistake to equate them getting $1 back each to them only having paid $27. They didn't; they paid $30.
Think of it this way: If I have 30 apples, and I give them all to you, then you give me 3 back and give 2 to someone else, that doesn't change the fact that I still originally gave you 30 apples.
No you can still think of it like they paid $27 total. $25 for the hotel rooms and then an extra $2 the bellboy stole it.
@@patrickedwards2078 well you can think of it anyway. Your explanation is a lot simpler and gets to the point. The trick in the problem is that they subtract three from 30 but add 2 instead which doesn’t make sense.
The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the person to whom the riddle is posed assumes those amounts should add up to 30, and is then surprised when they do not - there is, in fact, no reason why the (10 − 1) × 3 + 2 = 29 sum should add up to 30.
The exact sum mentioned in the riddle is computed as:
SUM = $9 (payment by Guest 1) +
$9 (payment by Guest 2) +
$9 (payment by Guest 3) +
$2 (money in bellhop's pocket)
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum can be expressed in this manner:
$30 = $1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$2 (inside bellhop's pocket) +
$25 (hotel cash register)
This sum does indeed come out to $30.
To further illustrate why the riddle's sum does not relate to the actual sum, the riddle can be altered so that the discount on the room is extremely large. Consider the riddle in this form:
Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $10. To rectify this, he gives the bellhop $20 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2. And $12 + $2 = $14 so, if the guests originally handed over $30, what happened to the remaining $16?
Now it is more obvious that the question is quite unreasonable. One cannot simply add a couple of payments together and expect them to total an original amount of circulated cash.
More economically, money is accounted by summing together all paid amounts (liabilities) with all money in one's possession (assets). That abstract formula holds regardless of the relative perspectives of the actors in this exchange.
The guests of the hotel paid $27, but also have $3 among their pockets at the story's end. Their assets are $3, and their liabilities are $27 ($30 = 27 + 3). Thus, the original total is accounted for.
From the perspective of the hotel clerk, the hotel has $25 in assets and lost $5 in liabilities ($30 = 25 + 5).
From the perspective of the bellhop, his assets are $2, and his liabilities are $3 to guests and $25 to the register at the desk ($30 = 2 + 3 + 25).
To illustrate the issue through equations:
1) 10 + 10 + 10 = 30
2) 10 + 10 + 10 = 25 + 2 + 3
3) 10 + 10 + 10 - 3 = 25 + 2 + 3 - 3 (adding -3 to both sides of the equation to cancel out the +3 on the right side)
4) 10 - 1 + 10 - 1 + 10 - 1 = 25 + 2
5) 9 + 9 + 9 = 25 + 2 (obs: tip to bellhop has already been paid)
6) 27 = 27
How the riddle is deceptive comes in line 7:
7) 9 + 9 + 9 = 25 + 2
8) 9 + 9 + 9 + 2 ≠ 25 (pushing +2 to the other side without inverting the sign)
9) 27 + 2 ≠ 25
10) 29 ≠ 25
How it should be:
7) 9 + 9 + 9 = 25 + 2
8) 9 + 9 + 9 -2 = 25 + 2 -2 (adding -2 to both sides of the equation to cancel the +2 on the right side, which means the bellhop returned the tip or gave a discount of $2)
9) 9 + 9 + 9 - 2 = 25
10) 27 - 2 = 25
11) 25 = 25
The puzzle should subtract the bellhop's tip from the $27 rather than add it.
Ain't nobody got time fo dat!
This has got to be a fallacy in deductive logic. Do you know which fallacy in particular?
dude, total overkill, BUT perfectly executed. It was great how you illustrated each perspective, that's definately a thorough explanation. I cant see anyone saying "I don't get it". well done! high five!
I respect the dedication to all the typing but all you had to say was. The riddle master was a moron and said plus instead of minus when talking about the bell boys theft. You remove the bell boys $2 from the $27 the guests paid. It's not a clever trick. Just incompetent speaker.
Thanks ,, oh I did not get that could you please repeat that 🤔 ?
1. The room originally costs $30.
2. The manager realizes it should only be $25, so he gives the bellboy $5 in change.
3. Now, the room costs $25 and the bellboy has $5.
4. The bellboy gives $1 back to each of the three people, so they each receive $1.
5. The bellboy keeps the remaining $2 for himself.
If we add up the $25 for the room, the $3 that the people received, and the $2 that the bellboy kept, it equals $30 in total. So, there's no missing dollar. It's just a matter of how we're looking at the numbers. 😊
There isn't a missing dollar, it's at trick question. They paid $27, which is $2 more than $25. All good.
Each of the guests have $1, the bellboy has $2, and the hotel manager $25. 3⋅$1 + $2 + $25 = $30.
He lost me at "three people check into a hotel room that costs $30" 😮😳
5 bucks for the maid...
Hahaha
Penicillin shots in the lobby for $100 each…
True enough....the question must've been posed back around 1950!
😂😂😂
They gave the desk $30.
Each contributed $10 initially.
The cost was reduced by $5.
The bellboy stole $2
The guests each got back $1, making their individual expense $9 each.
The $25 kept by the manager, plus the $3 returned to the guests totals $28.
There is no missing dollar.
25+3=28
The bellboy has the other $2, which accounts for the total of $30
The Bell boy got 2 of 5 the other 2 people got 1 each, 2 + 1 + 1 = 4 not 5
@moonbubblegaming8372 There were 3 guests. The red herring that throws you off is that the guests now paid 9 dollars each 9*3=27. Because they initially paid 10 each and got a dollar back. But the manager has 25 the guests have 3 and the bell boy has 2. It adds up to 30 regardless. The bell boy probably knew you couldn't easily split 5 dollars 3 ways so he kept 2 for himself
@@user-wt9vj7ju2o yeah so I forgot the bell boy wasn't a geust😶😶😶😶😶😶
@@JAVMusic1409 the bell boy got $5 to give the 3 guests. He took 2 ...5-2=3. Giving $1 to each guest. The hotel has $25 the bellboy has $2 and the guests have $1 each totaling $30....it's not a mystery
1+1=2 and 1x1=1 a misdirected formulation of values.
The question is deliberately misleading. Original expenditure by guests was 30$ or 10 dollars each. All 30$ went to hotel. After 3$ was returned to guests, total expenditure was 27$ or 9$ each. Of total expenditure of 27$, 25$ went to hotel and 2$ to bellboy. No missing dollar at all.
The manager got screwed out of two dollars, not the guests.
$25 with manager,
$2 with the bellboy,
$3 returned to guests
= $30. No missing dollar.
But if the three people each paid $9 that equals 91827 plus a $2 the Bellboy kept that's only $29
@@18632ewa8How did they pay 9$ each? That's 27, they only paid 25, so that would be 8,33 each, so the 5 would be divided 1,66 for each to make 30...except in other guy stole 2
there's no 30
each guess 3x9 total 27
manager get 25
bell boy get 2
no missing dollar
30 shows at beginning, but deleted. 30 is just a trap,
Yes 30 just a trap, if each of them pay $9, meaning they won't get any balance, in total of $27, $25 to hotel, $2 to bellboy
The miss informed is $27 + $2. It is what you say above $25 + $3 + $2.
You dont add the $2 to make it $29. You subtract the $2 that makes it $25. The guest paid $27, and the bellhop got $2, so the hotel charged $25. The reason the bellhop kept $2 was because he could not split $5 evenly between 3 guest, so he gave each guest $1 and kept the $2 as a tip for delivering the money to their room.
So in other word the 3 guest payd 9 dollar 66cent each
It’s because your adding it the way they want you to add it. The fact is 25 was the cost that leaves 5 dollars left. The guy went up to give them back the 5 realized it wouldn’t be able to split in three evenly,so he kept 2 now 2 subtract 5 leaves three which also bring the cost to 27. now he gives them the three which was intended to be split bringing the total to 30. That is the most accurate way to explain
U mean he stole
@@rockghodall money is accounted for 25 to hotel 3 to customers 2 to bell hop 25+3+2=30
@@ruger2185 yes 🤣🤣
The $5 refund meant that each person had paid $8.33. They each received $1 refund, so that accounts for 3 times $9.33, which is $28. Now add the $2 to reach the total of $30.
Considering the situation
We know that the mistaken price is $30 dollars
Then each contribution is 30/3 = $10
Then the actual price is$ 25 which makes the contribution 25/3 = $8.33
Now the bell stole the $2 dollars out of 5
So the remaining 3$ is distributed equally
So we get each contribution 8.33+1
=9.33
And total amount now = 9.33*3=27.99~$ 28
Rest $2 are with the bell boy that makes it $2+$28=$30
Hence hotel has $25
Bell boy has $2
And guests have rest $3
Looks like I picked the wrong day to stop sniffing glue
I saw Airplane! for the first time 3 hours ago and you posted this 2 hours ago, youre insane
Lol! 🤣😂
@@BigKrispy798 its the simulation theory in real life.
🤣🤣🤣
Such a good movie
The manager has $25, bell boy $2, and each of the 3 guests has $1. Totalling $30.
😂My thought!! 😅
Right! 😅
"Why did the bellboy have to go and mess everything up?"
In reality, that's the right question to ask. 🤣
The actual cost for the room is 1/3 of $25.00. Which is roughly $8.33. 8.33x3=$24.99 rounded up to 25.00, plus the dollar each got back is $28.00, leaving two dollars for the unscrupulous employee.
The hotel has $25, each guest got $1 back ($3) and the bell boy got a $2 tip. That equals $30, no missing $1.
Exactly. Math is learned in school, not on youtube shorts or tiktok😂😅
😂 yea there’s no missing dollar they tried to make it magically disappear when saying it was $27 they got back no they got $28 if the bellboy gave back a dollar each… $3, not $2. There’s no missing dollar
Yes but explain to me how if each of them paid $9 a piece at eagles 27 where did the other dollar
@@whenunounothey didn’t “pay” $9.
(Part 1) 10×3-5+2=27. (Part 2) 30-27=3. (Part 3) 3 people get $1 Dollar each. Problem solved. The word play confuses you with who gets what at the end. 9×3=27 but they get the 27, not you. You walk away with 3 dollars. 1 dollar per person. OMG I feel like I'm in school.
Its how the narrator explained the scenario. If you do the math without him, you find no missing dollar.
Exactly this^^^ê
I thought the exact same 😂…
If you find it, it isn't missing...😅
If you think about it visually, it helps. The dollar never "leaves", the dollar is just where you think it isn't. The question is trying to be a riddle, when it's just a math problem.
3x9 = 27 (think about that as the 25+2) and then the other 3 dollars are "refunded".
They paid 10$ each to pay the 30$, realize that he overcharge them by 5$ so the manager gave them back the 5$ and the bell boy took 2$ and gave them 1$ dollar each.
Conclusion: There is no missing dollar.
The real math conundrum is this: when they find out the bell boy stole from them, how are they going to split the $2 they take out of his ass 3 ways?
🤣🤣🤣🤣 that's the real question
He was doing them a favor! 😂
The elevator door opens . . . It was at this moment the bellboy knew, he f'd up 😂
If he hadn't stolen from them, they probably would have tipped him the $2 if only to avoid a nasty division problem. But now he's going to jail where he belongs.
😂
They ended up paying $9 each, total $27. $25 to the hotel and $2 pilfered by the bellboy.
Cleanest explanation in here 👍
I totally agree it's the only answer that makes sense and also reveals the fact that it's simply the way its worded
Or simply the way the equation is wrote
Ok I will simplify it.
The IQ test isn't "herp derp where is the dollar"
The IQ test is actually whether you will realize that from the words of the question that there is no missing dollar.
The moment you start overthinking it, you have fallen for the word trap of the IQ test and failed it.
There's no missing dollar. Because the bellboy kept 2 dollars plus the hotel kept 25, and they each got back a dollar, they paid total of 27 dollars.
As an accountant I can confirm that all the money is accounted for.
Well as a watcher and secret admirer of Lydia i'm just here to watch her reactions not care what all the subject are about.. :0)
Just work out the math backwards from $30. Don't add from $25.
Now let's see the "other book."
Except for the $2 the bell boy skimmed.
Now do the Pentagon next!!!
Just the morning i decide to finally take charge of my life, the universe throws this at me. Damn.
😂😂😂😂😂😂
It's cuz you're trying to add the $2 to it to get 30 instead of subtracting the $2 from it to get 25 because the actual price of the room was 25 not 30. Reword it if the hotel manager gave the bellboy $5 to bring back to them and the bellboy brought them the $5 then they would have paid $25 if they then tipped the bellboy $2 because they couldn't split $5 evenly between the three of them then you don't have a missing dollar it's all in the way that they're wording it and they're asking the wrong question at the end to try and trick you.
It's like I got 11 fingers I count down on one hand starting from 10... 10, 9, 8, 7, 6... And five on my other hand makes 11... Even though each hand only has five fingers
hahaha
basic accounting
Shut up
“But where is the missing dollar”💀💀💀🤣
The wording of the question will trip you up. The cost was $25 plus a $2 "tip for the bellboy"... so they only should have paid $27 TOTAL, which is why they each got $1 ($3 total) in change. There never was any $29, but there WAS a $27. No dollar is missing because 25 + 2 + 3 = 30.
This is why problem solving is important. 2 dollars get subtracted from their total of 27 and you get the price of the room, 25.
But that $2 was already subtracted
@@DanielW-he1fgnope, when you're calling 9 dollars on each for total 27, there are implied the 2 dollars of bellboy, + 3 dollars that actually returned to them is 30 dollars total.
The 2 dollars of bellboy are implied in the 9 dollars each because they never returned to the 3 dudes.
no. the room was at 1 point thought to be ten each. but in actuality it is just over 8.333333 each. so the manager gave them 5 back. but the bell dude stole 2. so we must now think of the room costing total of 28. 9.33333333 each. the presumption is always lean on and ten and one but that is not at play here and we as people do not only have to pay in whole digits
@@playdat1643 correct, but it's not 28, it's 27, 9 each (8.999999 if you will) .
I posted my reasoning in another coment, but in a nutshell is:
If they have to pay 25 dollars, they can either pay 8.333333 each, or 2 pay 8 and the other pays 9.
Either way, they end up paying 27, 9 each.
- For 25/3 = 8.3333
2/3 = 0.6666 | 8.33333+0.66666 = 8.99999 = 9 x 3 = 27
- For 25 = 8+8+9
8+8+9+2 = 27
9+9+9 = 27
The "2" being the dollars of bellboy
The guests were due £1.66 back, they all said don't worry about the 66p so the bell boy got a £1.98 tip
Edit
£30 originally paid
£5 overcharged
£1.66 due to the 3 guests
It's a logic puzzle. It started at $10 per person ($30 total) but afterwards the total amount given after $1 per person is returned is $27 ($25 + $2 stolen by bb). The guests each THINK their share of the room is $9 ($27 total) but the actual cost is $8.33 ($25 total). It's all there -> $25 for room + $3 returned + $2 stolen by bb = $30.
Thats the most logic explaination in comments
@@Riesencookieno this explanation is senseless because 9.33 x 3 = 29.99 the penny remains missing. The actual answer is that the bellhops money is counted with the hotels not boys. The bellhop and the Hotels money equals 27 and each boy received 1 dollar back which is 3 equalling 30. The problem with the story is that it is assumed that the bell boys money counts with the boys money. But it doesn't it counts with the Hotels money. A response to this would naturally be how would the 3 boy split the $5. The answer would be there would be a penny left over but a dollar isn't missing.
Exactly
No, that's incorrect. The cost of the room is not $8.33 because they got $1 back remember.
As an accountant I can tell you that the answer is not in the coat per person but in not mixing in the initial payment in with the change. In accounting that would be 2 separate transactions and 2 seperate journal entries.
First unlike many people's theories, they did originally pay $30.
Turns out they paid an extra $5, so will be getting a $5 refund in change.
So $30 - 25 = $5 change.
So of the $5, $3 went to them and $2 went to the bell-hop.
So that is simply $30 - $25 = $5. The five went $3 to them and $2 to that slick kleptomaniac bell-hop!
You cannot use the equation of 9X3 = $27 + 2 because that doesn't account for the full payment received of $30 less the eventual $5 refund.
This is why mathematics has things like order of operations, i.e. brackets around numbers.
@@stewartgates1133 this is correct as I mentioned there is no way to use the conclusion to solve the equation. The reason it is complexed is because normally in math you are able to work the problem backwards. There is no way to do that here. You need to return to the beginning and only work the problem from there. This is known as a mathematical default. It is a flaw in mathematics in which you need to default to the original premise of the equation.
The math was done incorrectly. Yes, 10-3=7; however, it should've been 10-2=8 since it's the bell boy that took $2. This leaves you with $3. 3+25=28, 28+2=30.
Don't focus on the wrong things. Compare total profits and losses. The 3 men paid $27, the hotel gained $25, and the bellhop stole $2.
Totals: $27 profits and $27 loses.
Each guest paid $9 (3x$9=$27)... You don't "add" the bell boy's $2 to what was paid... You "deduct" it leaving $25 which the hotel received.
Its bc they are multiplying and dividing thevsame problem
You DO add it because youre trying to reach the sum of $30 as states in the beginning
@Tony-vk3jb if you run it backwards it equals 30 it's you are trying divide and multiple the same problem
What's impossible is solving a known variable with an incorrect formula.
@@user-ew5lq1er3v its a riddle. There are multiple hypothetical right answers to most riddles. Theres a few different ways to word this problem where it will obviously equal $30 which it should but the trick to this riddle is making people do the $9x3 guys payment. Also anytime i have said this riddle the bell boy gets tipped the $2 he doesnt steal it.
They paid $27 dollars for a $25 dollar room. There are actually TWO missing dollars, and they are in the bell boy's pocket.
25+3=28 28+2=30
But, that missing $2 is not really missing.
They paid $30, got a $5 refund, and the bell boy kept $2 of the refund as a "gratuity". Nobody ever paid or had $27
@@kevin9218they paid 30 (10 each) but each one of them got 1 Dollar back, so they paid 9 dollars each. Which is 27. The bell boy kept 2 Dollars. Where is the missing Dollar? 😂
@@formd7593 they paid 30, The hotel kept 25, they got 3 back, bellboy got 2. 25+3+2=30. No missing dollar.
They are out $27, for a $25 room, the bellboy charged them a $2 tip
There's no missing dollar. They paid 30, it was reduced to 25, the boy took 2 making the total paid 27, then the 3 people each got a dollar back, so 30-3 = 25+2 = 9*3
The answer is they paid $9 each for a $25 room. They paid $27. The hotel got $25 and the bell boy got $2. No money is missing
Think of it this way. They paid $27 for the rooms, $25 to the Manager/Hotel, $2 to the Bell Boy. The last $3 is in their pocket for a total of $30.
That way it makes sense but the other way it doesn't, yet the numbers are the same. Depending on how the problem is phrased it does or doesn't have s solution, which is extremely weird.
i understand hes saying its 29 total so where is missing 1.00
@@alexmerel9924 there isn't a missing one dollar.
The guests have 1 dollar each returned that they keep so they never spent $10 each. They only ever spent $27. $8.33 each for the room totaling $25 then 67 cent each tip to the bellboy equaling $2. 25+2=27. Then they each have $1 still to spend on something else. Making the $30. No missing dollar. Just badly worded designed to confuse.
@@alexmerel9924they paid $30, but the room costs only $25 so they got $3 back, $2 with the bell boy. There is no extra dollar. Or since they don't know the bell boy took $2 you can say they paid $27 and got $3 back.
The question tricks you into adding the room price they paid (which should be 25 and not 27) with the money the bell boy took (Which should be part of the 27)
Why is nobody adding the 3 to the 25 THEN dividing by 3??? They didn't all pay $9. They each paid $9.33333333
The room total is now $25, not $30. They have now paid $27 instead of $25 so they were robbed $2
No missing money. The hotel has $25, the guests have $3 ... this is $28 ... and the bellboy has $2 ... this is $30.
lol exactly. but try using a calculator step by step and it's super easy to get confused
@@calebthrun5421 how if you use the step I gave?
dam that's what i said... i was ripped off 117 likes
@@islamisamess6160its totally have the same conclusion, there is no a missing 1$ whether you use the calculator or just logic. the calculator will gave you a decimal points, 29.99$ to be exact, so you rounded it up to 30$. its the same concept but the calculator wont give you rounded numbers. the trick of this questions is by missleading the story with the question. it makes you presume that there is a missing $ but its actually no. and it makes things even more complicated with the calculation because of using the variable of "3".
I was told this riddle in school. The $2 in his pocket is part of the $27 they paid, so it can’t be counted. Therefore, the other $3 was given back to them.
There is no missing dollar, that $2 divided among three comes out to:
67¢
67¢
66¢
This means each of the 3 guests individually paid at the $25 rate:
$8.33
$8.33
$8.34
So if they had got the whole $5 back it would be divided:
$1.67
$1.67
$1.66
That is the problem about dividing expenses among odd number of people, most of the time someone is paying more than others.
This is a simple but perfect example of auditing/forensic accounting.
You don't need to add the $2 to the $27 because the $2 was already included to the $27 in the first place. Remember, the hotel manager got the $25 and the bell boy kept the $2 which total to $27.
At fukking last, I thought no one was going to get it 👍👍👍👍👍
They paid $30 and got $3 back the bellboy got paid $2 (he paid himself) which leaves $25 for the room.
Smartlady
the only answer I've seen in the comments that actually make sense and that I understand
The desk manager got the dollar.
The dollar is lost in the assumption of the last statment. The true cost to the quests was 27 dollars. 2 to the bell, 25 to the hotel. The three dollar difference is returned and is not equal to the difference of the total cost and the bell boy. The last statment wants you to reference the true cost. True is 9x3 (27)
The room cost was $25 + the bell boy's "tip" of $2 = $27. The boys got 3 dollars in return because they paid $30. Simplest way to explain.
Yep. The IQ test used the wrong formula. The 3 guests ought to pool their money and pay someone to clean that nasty $25 room. Yuck
They did not pay 27. They only paid 25. And then they got 1 dollar each back. So that's 25 plus 3. They paid 28 dollars. And the bell boy got 2 dollars back.
@@patriot2372 They started with $30. They received $3 back. That means they paid $27 total (30-3). $25 to the hotel, $2 to the bellboy.
@@patriot2372 What? Try reading again... I said the bellboy got $2. The guests got $3. The hotel got $25. That's $30. My math is correct, your logic is not....
Edit: typo
@@bubzilla6137 They started with 30 but got 5 back. The busboy got 2 and gave them 3. So they paid 25 and 3 which is 28 for them and 2 for the busboy.
This is kind of a hustler question you got to be careful with your money
Now, each of those friends has one dollar, bell boy has 2, and the manager has 25, summing up, we get 30 dollars
One guest ended up paying a penny more that the other 2… $9.33, $9.33, & $9.34
you don't add 2 and 27, you subtract 2 from 27 😂
this is how accountants steal money, by turning balance sheets into math questions
The $30 is irrelevant, the room costs $25 and the bell boy stole $2 so in total they spent $27. Plus the $3 they got back from the original $30, Vsauce2 did a video about this
Basic math has left the chat
The price of the room was $25 so they paid $8.33 each. When the bellboy gave them a dollar back it came to $9.33 each. The bellboy got $2 which came out to roughly $.67 each.
Taxes. If you are missing money, it's always taxes.
After the mistake is realised The original $30 becomes irrelevant.
yeah!!! the goddamned minibar
The bellboy's $2 was counted twice at the end. The $27 already had the $2 in there. Remember, the real price was $25, the bellboy kept $2, and returned $3 to the guests. 25+2+3=30
I think you’re the only one that got it!!!
@noisemaker1078 noway I got it immediately 😂 I must be a supergenuis
So the bell boy had $4? He had $2 and kept $2 for himself?
This is actually the correct answer. Good job. Some of these other comments crack me up.
I got the same answer.
The error is in the question. The payment is $10x, with x being number of customers. That first doesn't change, but the problem indicates it does. It states it changes to 9x + 2. It actually changes to 10x-5+2 which does not equal that.
Starts at 30 total. Cashier has 25 the guys have 3 and the bell boy has 2. 25+3+2=30 there is no missing dollar. Each guy paid 9 each(27 total) and bell boy has 2 and cashier has 25(27 total).
You just have to see them as groups. One group is the manager and bell boy that end up with 30-3=27 or 25+2=27, depending how you want to look at it, and the other group is the three guys that each paid (10-1)*3=9*3=27.
You can't mix the three guys and the bell boy because they're not on the same side of the transaction.
So, guest price = g, bellhop "handling" fee = h, refund = r.
3(g) - r + h = 3(10) - 5 + 2 = 27
$27 is $1 less for each guest than the original $30. Since the bellhop took $2, then the remaining refund ($3) is split evenly between the three guest, making the charge appear to be $9/ person.
Yes, exactly! The money paid was 30 - 3.
The money taken is 25 + 2.
27 = 27.
Done.
You're all working on dividing the incorrect total. It should be 25/3 = 8.3333r. Multiply by 3 equals 25 = correct amount. They each should've received 1/3 of 5 = 1.6667. Eg 0.66667 x 3 = 2.0. The missing 2. Ignore the way the sum is half done (incorrectly
The three guests was meant to pay 1/3 of $25 each ($8.3333), so when they received a refund of $1, they each contributed $9.3333 for a total of $28. Plus the $2 taken by the bellboy for a total of $30. There is no missing dollar.
This is simple and an old one. It's all in how his math is incorrect. No missing dollar . Add 3 dollars to 25 you got 28 and the bell boy has the other 2. Dumbasses
No.. 2$ must be sunstract to 25$ they paid for room.. not 30
No if they pay 25 on get back 3 that 28
@@neilonjoseph698 a 2 has the boy.
Either the bell boy returned $2 because he spent $1 in order to keep his 2, OR the bell boy actually kept $3.
If he gives three dollars back that's 28 dollars.
The missing dollar isn't missing, you don't add the 2 the bellboy took because it was removed from the equation. They paid 9 each times 3 is 27 plus the 3 dollars returned to them is 30.
when the true answer has only 2 likes.... smh
@@apokalypz08that math was incorrect though. 😂 the $9 in the wording came after they got the $1 back
This is a trick testing whether you mess up between Debit and Credit. The 27 totally paid by 3 guests should not add up the 2 received by the bell boy, but should minus the 2 received by the bell boy. 27-2=25. This is because the payments by the 3 guests, $27, are of different and opposing nature with the bell boy's receipt of $2. This means, from the boss's point of view, 27 and 2 are not of the same mathematical nature (or correctly speaking, Accounting or Bookkeeping nature): 27 is paid by 3 guests (originally to boss), but 2 is received by bell boy (against the originally should-be receipts by boss). So it is misleading to add up 27 and 2, but 27 sould be subtracting the 2 out, to give 25, what the boss actually received.
My father told me this puzzle when I was about 8. My two older brothers could not solve it, but I did. This was my first taste of the joy of thinking and solving puzzles.
The wording is meant to trick you into ADDING the 2 expended to the bellboy with the total expenditure of 27 (2 to the bellboy and 25 to the clerk).
It was just a calculation problem. You need to divide 5 by 3 to give each one an equal amount. Then you subtract it from 10. Now if you multiply it by 3, you'll get 25. In other words, the bellboy lied and said the price was 27$. Now if you subtract the 2$ that he took, you get 25.
10*3=30
30-25=5
5÷3=1.66666667
10-1.66666667=8.33333333
8.33333333*3=25
They try to confuse you by the wordings and make you think in their terms.
They didn’t get 2 dollars back they got 3 dollars back.
There is no missing dollar. When there are changing nominal prices, the solution is to focus on “value”, not just nominal dollar amounts. $30 was never the cost of the room. In reality the real value calculation is: the clerk tells the men the cost of the room is $25 for the night ($8.33 per man), but each of the guests only has a $10 bill. The clerk has no change, but promises he will return $1.67 to each guest when he gets change. The bellboy gives each of the three guests $1. Each guest now has $9.33 in value (the one returned dollar and the $8.33 value of having a place to sleep for the night). 3 X $9.33 = $28. When the bellboy short-changes them, they say nothing because collectively they realize the bellboy “auto-tipped” himself $2 in value and they don’t want to get the kid fired over such a trivial loss of value of $0.67 each.
They overall paid $27 for a room that costs $25 and the remaining $2 went to the bell boy. The figure $29 was thrown into the question incorrectly to throw everyone off. ($27-$2 is correct, $27+$2 is meaningless)
25+3=28 not 27
@@jenaut4005 the 27 comes from the 3 times the 9 dollars they each paid in the end.
The guests basically paid $25 to hotel and the bellboy $2.
People with an average IQ hear "27 + 2 is not 30" and then think about what the person is actually saying and have the confidence to know it's stupid. I don't think people are born stupid: but somewhere along the line they lost the confidence in their ability to think about things, question what they hear, and feel empowered to speak up about it. No one wants to look stupid, so a lot of people just go along with what they hear. Intelligence starts with being confident in your ability to think. Even the smartest people say, do, or calculate something incorrectly sometimes, but they don't let that discourage them. That means they continue learning more and more, and continue exercising their brain more and more and practising creative thinking. That leads to intelligence.
Guys to make it simple is they spent $27 total having $3 back from $30 = $27( $25 hotel and $2 bellboy tip). $27 / 3 = $9 ( $8,3 hotel each and $0,7 bellboy tip each)
The Guests got $3 refund, the Bellboy have $2 and the hotel manager have $25.
I love " why did the bellboy have to go and mess everything up"
They didnt pay 9 dollars. The bell boy made them think they did.
Oh that’s easy, but let work it out the easy way. Out of the Three people let’s say the technically two of the three spent $9 which equals $18 and the third person technically paid $7, all together $18+$7=$25. However all three paid $10 each and over paid. Okay that’s the set up. Now if the bellboy did not keep $2 of the $5 owed the two that paid $10 would get $1 back and the third person would get back $3 but instead, the bellboy kept $2 of the $3 owed to the third person and just gave him $1 only. The answer to the question “What happened to the last dollar?” The answer is nothing happened to the $1, the bellboy owes that third person $2.
No missing dollar. The bellboy simply told the customers that the room only costs 27$. But in reality it should've only cost 25$, hence he gets to keep the 2$ (27-2)
28, maybe? Lol
They paid $25 to the hotel and $2 to the bellboy. That's $27. 9x3=27.
The trick is that they _imply_ that the bellboy's $2 should be _added_ to the $27, for a total of $29, when, in fact, the $2 is _included within_ the $27.
I.e., the ladies paid $25 to the hotel and $2 to the bellboy(involuntarily), totaling $27. The other $3 they got back, which is what lowered their payment from $30 to $27.
The guests paid $25 for the room and $2 for the bell boy, adding the $3 refund adds up to $30
The three people paid $27 ($9 each). $2 went to the bellboy, $25 went to the hotel manager. $25 + $2 = $27.
The question makes you think you have to add 27 + 2 = 29 but that's just to throw you off. It's actually 27 - 2 = 25.
Three people paid 27. Hotel owner has 25, Bell boy has 2.
Either they paid 30/10 each like Stated in the beggining or they paid 27/9 each like stated in the middle of the video, cant be both
@@platinumknight1you obviously don't understand what it means to get refunded a portion of what was originally paid, hence lowering the amount paid overall.
@@gothicbagheera nah i was sleepy then watched the video again and i knew i f up, just didnt care for deleting the comment
Technically they paid $27 but then the manager unintentionally gave the bell boy $2 so it works out. The hotel got $25, bellboy got $2 and the 3 guests got $3 back.
I have the true answer.
First let's clarify some points.
*There weren't 3 guests, but 2, since there were three people booking a hotel room, not 3 guests, so bellboy is a part of the trio.
*They each paid 10 dollars (30 dollars in total), and got back 5 dollars, because the hotel price was actually 25 dollars.
What happened is simply that bellboy had shared it equally at first, giving one to himself, and one to each of the two guests, leaving it at 28 dollars. Afterwards, bellboy decides to keep an extra 2 dollar, and has now 3 dollars, leaving the total $ at 30.
As soon as the dude returned 1 dollar each, the total amount paid became 27 dollars.. not 30 dollars