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Three men walk inside a hotel and decide to stay for the night. They pay the price of \$30 by splitting it so they each pay \$10. They go up their room, but then the manager realizes that the price that night is \$25 dollars so he sends \$5 dollars up with the bell boy. The bellboy realizes that \$5 can't be split by 3 so he pockets \$2 and gives the men \$1 each. But if you calculate it, the 3 men each payed \$9, and 9 times 3 is 27, then add the \$2 from the bellboy you got \$29. Where did the last \$1 go?

• math -

A very old problem

"But if you calculate it, the 3 men each payed \$9, and 9 times 3 is 27, then add the \$2 from the bellboy you got \$29"

What are you "calculating"
\$9x3 = \$27 deals with the cost of the room
you are then adding \$2 which has nothing to do with the room cost.
You are adding "apples and oranges"
2 apples + 3 oranges = 5 ???(5 what?)

the real calculation should have been

amount paid - cost of room = left over money
\$27 - \$25 = \$2

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