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Does anyone know the puzzle of the missing dollar. I've known of this puzzle since I was a teenager and still don't get it. Each step seem logical but the conclusion is illogical.
Here's the puzzle. Three men go to a hotel to get three rooms. The desk clerk says each room is 10 dollars (this must be a very old puzzle).The three men pay the 10 dollars.
Later on, the desk clerk realizes he should have only charge the three men a total of 25 dollars. He call the bell boy, gives him five dollars, and tells him to return it to the three men.
The bell boy, a little crocked, thinks: I just return to each one of the men a dollar, and I'll keep two dollars for myself.
Now, if he returns one dollar to each of the three men, the rooms only cost nine dollars each, Thus, three times nine = 27 dollars. The bell boy kept two dollars which equals 29 dollars 27 plus 2), where did the other dollar go?

Tomm 5 Dec 9
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3 comments

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0

It's a classic example of mis-direction. I've had some fun with it over the years. A friend of mine has one he does with two rectangular blocks and a tape measure, making a couple of inches appear and disappear. I love that kind of shit.

Thanks for responding to my post. I'm with you, I enjoy this sort of stuff. See if you can answer this: How long is a China-man? Hint:, the subject equals the predicate nominative.

I don't even understand the question. I wasn't that good in English, or is that math?

2

The puzzle has you adding an amount paid ($27) to an amount received ($2). The $2 CAME FROM the $27, you can't add them together in any meaningful way!

Analogous example: If I pay you $5 and you give me back $2, this puzzle would be like saying I paid $3, you received $3, and $3 + $3 = $6, where did the extra dollar come from?

In the end, this is where the money is at each stage:

Men Clerk Bell Boy

$30 $0 $0 Initially
$0 $30 $0 After the men paid
$0 $25 $5 After clerk gives bb $5
$3 $25 $2 At the end

Note that each row adds up to $30.

0

The error is in the statement, not in the math. The bell boy should have given each of the men $1.6667, so the rooms actually cost $8.3333333333 ea. However, he returned $1.00 to each of them and that made the rooms cost $9.33333333 ea. Multiply that quantity by 3 and you get a total of $28.00. 28 + 2 = 30. There is no missing dollar.

Thanks for replying to my post, your solution is persuasive. I could't figure it out.

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