# The Missing Dollar

Three people check into a hotel room and each of them gets charged \$10 – a total of \$30. Later the clerk realizes that the bill is just \$25, so he sends the bellboy to return \$5 to the guests. On his way to the room, the bellboy decides to cheat and pockets \$2 of the money, and gives the three men just one dollar each. Now the three men have spent \$9 each, for a total of \$27. Additionally, the bellboy took \$2 for himself, which adds up to \$27 + \$2 = \$29. Since the guests originally handed over \$30, the question is what happened to the remaining \$1?

The calculation is made the wrong way. The three men originally gave \$30, but later \$5 of them were sent back, which makes it \$30 – 5 = \$25 left at the clerk. Each of the men spent \$9, so they gave \$27 in total, \$2 of which ended up in the bellboy’s pocket. \$27 – \$2 = \$25, so no “missing dollar” here.

3 x \$9 – \$2 = \$30 – \$5.

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