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# Three Guys in a Hotel

Three guys rent a hotel room for the night. When they get to the hotel they pay the \$30 fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back \$5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the \$5 dollars and to give the bellhop a \$2 tip. However, when they sat down to tally up their expenses for the weekend the could not explain the following details:

Each one of them had originally paid \$10 (towards the initial \$30), then each got back \$1 which meant that they each paid \$9. Then they gave the bellhop a \$2 tip. HOWEVER, 3 • \$9 + \$2 = \$29

The guys couldn't figure out what happened to the other dollar. After all, the three paid out \$30 but could only account for \$29.

Can you determine what happened?

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Solution:
There are many ways of explaining/thinking about this truly brain bending riddle! It all boils down to the fact that the lawyers's math is incorrect. They did NOT spend \$9 • 3 + \$2.

They spent exactly \$27 dollars. \$25 for the room and \$2 for the tip. Remember they got exactly \$3, in total back.

Another way to think about the answer to this riddle is to just pretend that the bellhop refunded \$3 to the lawyers (rather than giving them \$5 and receiving \$2 back). If the lawyers get \$3 back and each takes \$1. They they spent exactly \$27 dollars.