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# Where did the missing dollar go?

### The Missing Dollar Puzzle

Three friends check into a hotel room that costs \$30. They each contribute \$10 towards the bill and head to their room.

Later, the hotel manager realizes that there was a mistake in the bill, and the room only costs \$25.

To rectify the error, the manager gives \$5 to the bellboy and asks him to return it to the guests. However, the bellboy decides to keep \$2 for himself and returns \$3 to the guests.

Now, if each guest initially paid \$10 and they each received \$1 back, that means they each effectively paid \$9, totalling \$27. The bellboy kept \$2, which adds up to \$29. But where did the missing dollar go?

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The solution to the missing dollar puzzle lies in the misinterpretation of the transactions. Let’s break it down:

1. The guests initially paid \$30 for the room (\$10 each), not \$27.
2. The \$25 for the room and the \$2 kept by the bellboy make up the \$27.
3. The \$3 returned to the guests should not be added to the \$27 since it is money already included in the \$27. Ideally, guest paid \$27 (\$25 for room and \$2 kept by bellboy) and they have \$3 back which is total \$30.

So, there’s no missing dollar. The math just needs to be interpreted correctly. Each guest paid \$9 (a total of \$27), the bellboy kept \$2, which makes up the total of \$29. There’s no additional dollar missing. It’s just a matter of how the transactions are interpreted and accounted for.

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