Brain Teasers

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Splitting a bill into three parts

Three couples check into a hotel late one night. The manager charges each couple $10 to stay the night. They all pay in cash. Sometime later, the manager realizes he's made a mistake and the couples were overcharged, so he gives the bellboy five $1 bills to distribute between the couples.

The bellboy realizes that it will be hard to split $5 three ways; so he decides to give each of the couples $1 and keep the remaining $2 for himself.

The conundrum is this; the couples each ended up paying $9 to stay at the hotel (their original $10 less the $1 returned by the bellboy). Now, $9 x 3 = $27, plus the $2 the bellboy has in his pocket = $29. But the couples originally paid $10 each, and $10 x 3 = $30. So what happened to the other dollar?

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