Brainteaser: The Dishonest Bellhop


 

Three men decide to share a hotel room for the night. The desk clerk charges them $30. They each pay $10. After they go to their room, the desk clerk realizes the room is only $25, so he gives the bellhop $5 to take to the men. On the way up, the bellhop decides to tip himself $2 for his trouble. In the room, he gives each man $1 -which means that each guy actually paid $9 for the room.

So: 3×9=$27; the bellhop kept $2; that adds up to $29. Where did the other dollar go?

An hour later, two women check into another room. The room is $30; they each pay $15. Again, the desk clerk realizes the room is only $25, so he gives the bellhop $5 to take to the women. This time, the bellhop keeps $3 for himself and gives $1 to each of the two women. So each woman actually $14 for the room.

So: 2x$14=$28; the bellhop kept $3. That adds up to $31. And that’s where the missing dollar showed up. Or is it?

Highlight the following space for the real explanation.

The math does add up -the question is just worded in a misleading way. Look at it like this: The $27 spent by the men INCLUDES the $2 the bellhop kept. Thus, the men paid $27 (the bellboy kept $2, and $25 went to the front desk).

The women paid $28 (the bellboy kept $3, and $25 went to the front desk). You SUBTRACT the bellhop’s tip from what the guests paid, you don’t add it.

(via Neatorama)

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