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three men rent a hotel room cost $30.They put in $10 each and go to thier room.The desk clerk realizes they overpaid by $5 so he gives the busboy $5 to return to the men, the busboy dosent know how to distribute the money evenly so he pockets $2 and gives each man $1. Each man has now paid $9 each 3x9=27 plus the $2 the busboy has only equals $29,Where did the other dollar go?

2006-10-12 08:51:03 · 7 answers · asked by smart guy? 1 in Science & Mathematics Mathematics

7 answers

ROOM COST = $25
CHANGE DISBURSED = $5 (EACH MAN GOT $1 AND BELLHOP GOT $2)
$25 +$5 = $30

2006-10-12 09:05:34 · answer #1 · answered by cookiesmom 7 · 0 0

Hi,

Brilliant question man.

Here is the trick

Now there are three phases in the problem.

first is the 25 for the hotel
Second is the 3 dollars that the men get back and
Finally the 2 dollars of the busboy
I I I I I I I I I I I I I I I I I I I I I I I I I * I I I I I

Here till the star there is 25 dollars to indicate the hotel fee.Then come the 5 dollars.

This five dollars can be split into two ways

I I I I I I I I I I I I I I I I I I I I I I I I I * I I / I I I

Here, before the '/ ' sign there are two dollars which signify the busboy's pay and the next three are the returns for the men.

See ,no extra dollar.

Now , the extra dollar is seen when it is split as it is shown.

I I I I I I I I I I I I I I I I I I I I I I I I I I I *I I / I

See, an extra dollar.

Its just different perspective.

Peace out.

2006-10-12 16:11:46 · answer #2 · answered by Pradyumna N 2 · 0 0

There is no extra dollar.

Of the $30, $25 went to the hotel, $2 to the busboy, and the men kept $3. So every dollar is accounted for.

2006-10-12 15:54:31 · answer #3 · answered by James L 5 · 0 0

You don't add the $2 on to $27 (because the $2 is part of the $27). You would have to add the $3 on to the $27 to get $30.

2006-10-12 15:57:05 · answer #4 · answered by Melody 3 · 0 0

3 men paid $9 each which is $27
this equals the $25 room charge + $2 for the busboy
there is no missing dollar

2006-10-12 15:57:54 · answer #5 · answered by ? 7 · 0 0



27 - 2 = 25

The extra $1 went the same place it came from, fuzzy thinking.

2006-10-12 16:01:27 · answer #6 · answered by Helmut 7 · 0 0

The same place it went the last 100 times someone asked this question.

2006-10-12 16:51:43 · answer #7 · answered by davidosterberg1 6 · 0 0

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