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Question:
Three men went to a hotel and were told that there was only one room left and that it would cost $30 for the night. They paid $10 apiece and went to the room. The desk clerk, discovering that by mistake he had overcharged them by $5, asked the bellboy to return the $5. The bellboy, not being as honest as the desk clerk, reasoned that since $5 is not easy to divide three ways, he would keep $2 and return $1 to each of the three men. Each man thus actually paid only $9 apiece, or a total of $27 for the room. Add to that the $2 the bellboy kept and the total is $29.
Where did the missing dollar go?
Answer:
The men paid $27 for the hotel room, but the $2 the bellhop kept is included in that $27. The remaining $3 is in the pockets of the three men, so the $30 is allocated as follows:
Three men: $ 3 Hotel Room: $ 25 Bellhop: $ 2 Total: $ 30
-- Tom Supple Warren College '89
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