Perfect, you got it. The $2 belongs in the $27 not as an extra. Well done!

Thank you for this great puzzle, Wayne. It's really a good test tool for the people's mathematical logic. The interesting thing is that most of the people I know are high school & university graduates. And I was very surprised that they really start to think where is the other dollar. And they don't have any answer. Really weird.

$9 is a great deal for a motel, as long as the dishonest bellhop doesn't also go in their rooms and steal their things! XD

Wonderful! Great logic, you cut through the baffle gab and solved it!

You got it! Perfect, short , explanation too!

A nice puzzle, sir. The short answer is, 'nothing happened to it, since no dollar went missing'. The trickery is in the 'convenient' wording of the problem. For the three men we SUBTRACT a dollar each (giving $27), but we conveniently ADD the $2 in the pocket of the bellboy; we should in fact be subtracting that too ($30 - $3 - $2 = $25).

thats a good one to tell people, it's easy to remember and sort of like a magic trick

The other dollar was divided amongst an infinite number of other sneaky little bell hops and simply disappeared without a trace. limit of 1/x as x>inf = 0. I have used this problem many times as an object about deception. However, I go a little further and continue with the fact the 9 x 3 really does equal 27 and 27 + 2 always equals 9 - so why can't we get to 30? This tends to create more blank stares. Great post and good smooth rendition - you must be in sales!

if you use coins to work it out as the video does, the manager magically gets a dollar

Great puzzle. You rock, man !! :)

You got it!! Well done.

The trick of this question is when you add 2 to the amount the guys paid. The correct is: "each one paid 9$ = 27$, the hotel got 25$, and the other 2$ sticks with the manager." The guys paid 27 and the hotel+the manager got 27. No missing money, just adding wrong numbers.

You got it! The confusion comes with the way I worded it, which of course, what it was intended to do. Well done.

Don't focus on the "2 dollar"always focus on the given

You got it Pedro!!

The easiest way to explain it is when you're adding up you count the 2 dollars in the bell boy's pocket twice and ignore the three dollars given back to the hunters…..in other words the 27 dollars paid by the hunters is made up of 25 dollars in the till and two dollars in the bell boys pocket ( the money outside the room ) and then the three dollars (which you ignore in your calculation) in the room which makes 30 dollars !! Lovely little puzzle though !

Perfect! THe $27 has $25 at the head desk and $2 in bell hops pocket!

That's correct. 3 nines are twenty-seven and that goes to the bellhop ($2) and the Inn ($25), so you do not add $2 to the $27 to make $29. The remaining $3 ($30 - $27) is $1 in each man's pocket! Well done.

It's really a faulty question. You don't add the $27 that they (in essence) paid to the $2 in the bellhop's pocket to get the total that $30 that they paid to begin with. [what they paid to begin with: 30] minus [what they essentially paid after the refund: 27] should equal [what they received in refund: 3]. NOT [what's in the bellhop's pocket]. If you want to track the money properly, 3 of the 30 dollars they paid circulated from the customers to the inn, from the inn to the bellhop, from the bellhop back to the customers. Those $3 circulated all the way and are then completely irrelevant. The other 27 dollars also went from the customers to the inn, but of those 27 dollars, 2 went to the bellhop and STOPPED at the bellhop. So, of the $30 paid originally: $25 is with the inn $2 is with the bellhop $3 is with the customers Net profit: Inn: +$25 Bellhop: +$2 Customers A: -$9 Customers B: -$9 Customers C: -$9 SYSTEM: $0 (check)

@theseekwool

9 жыл бұрын

5 divided by 3 is 1.666666 bar. So for example Customer A got back $1.66 Customer B got back $1.66 Customer C got back $1.68 total is $5.00 Given the values Above lets make $2 tip $0.66 + $0.66 + $0.68 = $2.00 They all keep a $1.00 so $25 + $1 + $1 + $1 + $0.68 + $0.66 + $0.66 = $30

@ciberiada01

8 жыл бұрын

+Ace Diamond You're totally right. And let's imagine the bellhop decided to keep all the 5 dollars for himself, because "they don't know they gonna get the money anyhow". Now if we follow the same logic: 3 × 10$ = 30$ (originally paid) 30$ - 0$ = 30$ (the bellhop has 5$ and he gave them back nothing) 30$ + 5$ = 35$ We add up what they originally paid + what is in the bellhop's pocket & we expect (as suggested implicitly in the video) the total to be equal to 30$. But now we get 35$!!! Does it mean they paid 35$ now? Of course not. Which proves the logic wrong. So, "where did the other dollar go"? And the obvious answer is: there's no such thing as "other dollar" or lost dollar. Because if we accept this faulty logic, it means that to make it 25$ now, the inn has to give them back 10$. 35$ - 10$ = 25$ Would you trust this logic if you were the inn? ;-)

Super! You got it!

each of them paid 9 dollars. that equals 27 total. that 27 is the manager's 25 at the desk and the bellhop's 2 in his pocket. which is 27, then the other 3 dollars left are in the men's pockets as the change they got back from the bellhop. simple when you write it out.

Darn, I wanted to put this problem online! You already did. I got to find another one...

Take the 2 dollars in the bellhop's pocket. Add it to the cash register containing the 25 dollars the front desk took for the room. 25+2=27. Add the 3 dollars he gave back to the men. 27+3=30. There's all the money.

@lukegllcc But by his final question, that 2 dollars wasn't part of the 27 that was paid. It was part of the original 30 that was paid, but not the 27 he asks about in the final question. In the final question he tells exactly how he accounts for the money the hunters have, and for the money the bellhop has, but he doesn't account for the money the hotel has. So if you look at it from the final perspective of fixed hunter number and fixed bellhop number, the hotel number is the floaty one.

algebraical 3x = 30 (10fee each) 3x-5 = 25(5 taken off price) 3x-5 +3 = 28 (one dollar each given back) 3x-2 = 28 3x = 30 (2 dollars given to bellend) the mistake is thinking 3x = 25 (taking away the 5) 3x + 3 = 28(adding the 1 each) 3x +5 = 30 (giving 2 to the bellend)

If they each paid $10, that's $30. When you take out $5, that's $25, meaning that two people paid $10, one paid $5. When you give back $3, that's $28. The other $2 are in the bellhop's pocket.

You got it!!

The reason this is a fallacy is because you're treating negatives as positives. The amount they paid should be represented as a negative value, while the amount the bellhop has should remain positive. |$2 - $27| = $25, which is exactly how much the storekeep was paid. You could also treat everything as positives, but you'd again have to consider the proper elements. The men each have $1 ($3 in total), the bellhop has $2 and the store keep has $25, accounting for all $30.

The initial payment of $30 is accounted for as the clerk takes $25, the bellhop takes $2, and the guests get a $3 refund. It adds up. After the refund has been applied, we only have to account for a payment of $27. Again, the clerk keeps $25 and the bellhop gets $2. This also adds up.There is no reason to add the $2 and $27 - the $2 is contained within the $27 already. Thus the addition is meaningless. Instead the $2 should be subtracted from the $27 to get the revised bill of $25.

look at it from the 3 mens' pov. they paid 30 and received 3 back. thus only coming out of pocket 9 each. 9*3 is 27 plus the 3 they were reinburst adds up to 30. the 2 dollars are included in the "money spent". now what happens to the break up of the money spent is irrelavent to the initial sum of the hunter's cash

The price per person was $10 -- with the $5.00 discount, it became $25/3 = $8.33 (approximately). Each man should have received approximately $1.67 back -- but the bellhop kept each man's $0.67, and just gave the $1.00 -- 3x$0.67 is $2.01 (or approximately $2.00, which is what the bellhop kept).

You got it!

There is no missing dollar. You are being asked to add a sub value of the total amount paid to the total amount paid! To explain, imagine the bell boy kept $3 and gave back $2 then the men would think they had paid $28. Adding $28 to the £3 kept by the bell boy makes $31 so now there is an extra dollar. The men paid $30 then each got $1 back so they paid $27. The men have $3, the bell boy has $2 and the manager has $25 = £30.

the other three dollars is payed back to the 3 guys!

You're correct, it is in the "wording". Math is not flawed, I just was messing with your mind!!

Can't be done with Multiplication. Add and subtract only I have one Two men are sitting on a bench. Another man walks by. One man turns to the other and says" Brothers and Sisters I have none. but that mans father is my fathers son." Who's is he identifying?

Wow nice my electronics teacher told us this one and stumped us.

@17PAT17 Well, actually they paid 9.33 each with a 2 dollar tip for the bellhop. Then they were refunded a dollar each. So I'd say the "other" dollar went to the hotel in the form of three portions of around 33 cents.

Yea I know theres no missing dollar. I think this is how it goes. The 2 dollar was stolen by the bell hop, so its $28 left for the 3 men. Then they pay $25 for the room. So theres theres $3 dollars left, and they were distibuted to the 3 men for $1 each. So, therefore there are no missed dollar, just a bell hop who robbed the $2.

You got it!!! : )

Room now cost $25 (30-5=25). They got back $3=$28. Plus $2=$30

Yeah, they paid $9.00 each + $0.66 each to the bellhop without their knowledge. That's only from their point of view: $9.00 each, and the bellhop's point of view: $2.00. From the perception of the omniscient observer there is still $25.00 in the register, $2.00 in the bellhop's pocket and $3.00 distributed among the hunters in the hotel room doing them almost no good at today's inflationary rate. Remember when $30.00 would get you a hotel room?

You do not add the bellhops $2 onto the $27, you subtract it ($27 - $2 = $25). Like the bellhop gave the $2 back to the man at the front desk.

this is a hard one but you have to subtract. original is $30, subtract 3 from the money save from the three of them, and subtract 2 from the kaniving bellhop which=$25.00!

@theboombody the dollar didn't go anywhere. the problem is how the guy set's it up. he said they paid 27 and the bellhop kept 2 =29 where did the other dollar go. but the 2 the bellhop kept is included in the twenty seven they paid and he didn't mention the three they got back. so when you fix it it says that they paid 27 to the bellhop and hotel and kept 3 for themselves =30. no money goes anywhere you just have to say it correctly.

The "flaw" is in the wording. They each paid $9 x 3, so $27 was paid. Of that $27, $25 went to the front desk and $2 went to the bellhop. Where is the remaining $3 ?? Why, in each hunter's pocket, since they each got $1 back. So, from $27 we add $3 to get $30, not add $2, to get $29.

@theboombody but then if the hotel has 27 and the bellhop has 2 and the hunters have 3 then that's 32 so if he asks where the missing dollar is but in how he set it up there's an extra 2 dollars not a missing 1 dollar. so that's where he failed. and he failed at adding two dollars to the equation by giving the bellhop an extra 2 dollars and then taking away the hunter's 3 dollars. so the way he asked it all of the amounts changed. so the only way to answer it is to fix the question.

Well done! You got it. The "QED" is interesting, since it seems to be a throw back to old-style proofs. Are you "old-style"?

The three guys only paid $8.33 each - Divide the $25 by 3 is $8.33 = £25 therefore - $1 back to each of the hunters = $3 and $2 in bellhops pocket

this is the wrong way to ask the question. another way to look at it is: $27 has been payed hotel has $25 of it bellhop has $2 of it

What is your reasoning. If it is $28, then where did the other $2 go?

It's not where did the other dollar go, it's where did the other 3 go. The 27$ is 25 hotel 2 bellhop. The remaining 3 are in their pockets.

in the hunters pockets

This is very simple. They each paid $9.33 as $25/3 is $8.33. Since they each got a dollar back they each paid $9.33.

this is confusing but very good puzzle!

There's no missing dollar. It's all in the phrasing of the question that confuses you. =D i had this puzzle since high school .

@lukegllcc For the special, it's 25 bucks for three people. Can 25 be divided evenly between three people without going to portions?

the dollar is never missing. yes they all payed 9 dollars. when they get

there is no other dollar because 5 is an odd number and it CANNOT be divided by 2 into a whole number. so therefore there is no other dollar.

oh my goodness.smooth seven must be hated in his life

the mortgage broker took it!

rite... there is no money missing.. just a trick of confusing the people..

@theboombody I would agree with that if it wasn't for the fact that the two dollars the bellhop got was part of the 27 they paid. so you can't count it twice. therefore the whole question is invalid. now if we fix it we see that the 'extra dollar' is one of the three dollars that they all got back.

Each man paid $9. Total $27. the bellhop got $2 and the inn got $25. to solve, you have to get the number 30 out of your head, it is no longer relevant.

It still is relevant. You are almost there. Now you have figured out where $27 has gone, where is the other THREE dollars?

yay! i got it!!! the 2 dollars in the guy's pocket was part of the money that the 3 guys paid, and is included in the 9+9+9; you don't add it again because you already did. you should actually add the 3 dollars they got back.

@theboombody you're wrong. there is no cents. it's all solid dollars. no portions.

Well done!!! The 25 + 2 = 27 which is 3 times 9.

@lukegllcc You're not answering the guy's question though. He's saying where did the dollar go to? It either went to the hotel, the bellhop, or the guys staying at the inn. I said it went to the hotel. Where do you say it went? Remember, they paid 30 dollars at the start, not 27.

i know, they were supposed to pay 9.33

@minkusbc I don't know. I think math could definitely have some flaws somewhere. See my video "Can Something Be Twice As Big As Itself?"

it math, working backwords is the key saying they payed $27 is wrong... the truth is they payed $25 30 (is what they originally paid) - 5 ( they got back) = $25 25/3 = 8.33 each.

Its because it shouldnt be add up to 29. It should be 27 - 2 ! not plus 2! So altogether they pay 25 dollars with 2 dollars in the your pocket :)

They each paid $10 and EACH got $1 back. So EACH paid $10 - $1 = $9. And 3 x $9 = $27. Now, try to figure it from there. Calling me derogatory names instead of using logic to solve the "paradox" does not help.

well if they were supposed to get 5 back but the bell hop gave them each a dollar and kept the 2 dollars left for himself it would have equaled the 5 paid back of the thirty they had so there isn't a dollar missing that they know of is there?

You're almost there! There originally was $30, you have accounted for $27. So where is the other $3 ?

No, they each did pay one dollar since ($10 - $9 = $1). And there are three of them, and 3 times $9 = $27, and the bell hop has $2. Hmmmm.

Good! Puzzles are supposed to do that! Try diagramming it out.

you dont subtract, u add so its 30

lol, it's all in the wording, but it is difficult to discover where!

@theboombody very well I hadn't thought of that. but if you read the uploader's comments he even said that you had to fix the question before you could answer it. I suppose the wrong answer to the wrong question would be that there's 32 dollars not 29. therefore where did the extra two dollars come from. which is from counting the bellhop twice. sorry but even if you count the 27 as the hotels instead of the 25 you still have to count the men's 3 dollars and the bellhops 2.

@theboombody no but they didn't pay 25 dollars they paid 27. the front desk got 25 the bellhop got 2 and they each got a dollar back. 25+2+1+1+1=30

@lukegllcc I like the term arguing because it sounds more aggressive.

Wonderful! Good explanation too! From Minkus_bc

@theboombody haha nice.

But the bellhop kept the $2. So they each paid $9 ($10 - $1= $9). Three nines are $27, and hmmmm, the bellhop has $2, and hmmm....

haha i got it, the two dollars had to be incorporated into the multiplication. you cant just add it.

@Bizz916 Well, some math is flawed, but this question is not. The other dollar is in the hands of the hotel where it belongs.

@lukegllcc If you're so insistent that he asked the question in the "wrong" way, why not just say, well the answer to your "wrong" question is ["wrong" answer], and THEN suggest that the question should be changed to ["right" question] with the answer as ["right" answer]. The "wrong" question has an answer to it just as the "right" question does. Just answer the question instead of making a fuss about whether it's the "right" question to ask or not. What makes words any less valid than math?

I'm no math student, but I think the question is framed deceptively. 30 minus 2 bucks for the bellboy=28. 3 bucks back to the hunters: 28-3=25. 25+3+2=30. There is no missing dollar. Did I come to the correct conclusion while using the wrong logic, though?*****

@lukegllcc I'm too skeptical to trust the uploader's comments. Anyways, I could be wrong. Mostly because when I said the other dollar went to the hotel, I was going to add that it should be refunded to the customers, but that wouldn't be correct. I just like to argue anyway, and spread the idea that the human mind is flawed.

the price was 25 so they al paid 25/3 = 8,33 then they all get an extra dollar so they all paid 9,33 ;) 9,33 times 3 = 28 +the 2 of the bellhop = 30 easy (A)

wrong!! they all paid 9 dollars.

always follow BODMAS rule

@jv1701 The men paid 9 dollars each, and each got 3 dollars back. That equals thirty. The deception is making you add the Bellhop's money instead. The bellhop's 2 dollars has already been accounted for in the 27 that the three men paid.

Woah I fell for it haha! The comments explained it but yep I fell right into it!

wait scratch that. you did the math in the wrong order(30 / 3 = 10 - 1 = 9 X 3 = 27 + 2 = 29). u see, their total was actually $28 because of the belltop (did i spell that right?) took $2. now dividing that into 3 makes $9.33 each actually, not $9. order makes a huge difference in math as u know

@lukegllcc Well, you can't just neglect to look at it from the perspective of his final question and make excuses. In his final question he says each guy paid 10 bucks and got 1 back, so altogether they paid 27, and the bellhop got an extra 2 bucks. So how do you account for the other dollar? That's what he's asking. You can't just fix the question because you don't like it. It's a valid question. Wouldn't you agree that the hotel has that dollar, and by its pricing should keep it?

I'm confused

can you explain that abit more? i think your right just explain it again in mroe detail