Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance. So, they each pay the clerk $10 and go to their room. A few minutes later, the clerk realizes he has made an error and overcharged the trio by $5. He asks the bellhop to return $5 to the 3 friends who had just checked in. The bellhop
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Each man has paid $9.
The bellhop has $2.
Difference
$9 x 3 = $27
2
$25
The hotel clerk has the other 25 dollars.
To look at it from the standpoint of the original $30. Each man has $1.
The bellhop has $2.
The hotel clerk has $25.
Total
$1 x 3 = $3
2
25
$30
The question is, who do you know that would spend the time to figure it out?
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The following night two friends check into the same motel. Once again the clerk charges them $30, or $15 per person. After the clerk remembers the total rate is only $25 he sends the bellhop upstairs with five $1 bills to pay the two friends back. The bellhop knows he got away with larceny once so he tries it again. But this time he pockets $3 and returns $2 to the hotel guests ($1 per guest). So each of the two guests got $1 back from their original $15. Therefore each paid $14 which is a total payment of $28 for the room. Now the bellhop has $3, the guests paid $28, for a total of $31....THERE'S THE MISSING DOLLAR!!!!
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