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3 people on a trip go to a hotel to get a room to spend the night in.

the desk clerk just happens to not be there, so the bellhop says can take care of you but i'm not sure how much a room cost, i think it's $30. so they pay him $30.....$10 each.

the desk clerk comes back and the bellhop tells him what happened. he tell the bellhop he overcharged the people. he gives the bellhop $5 and tells him to go to their room and return the money.

on the way to the room the bellhop figures they'll never know, so he decides to keep $2 for himself and only give them back $3. so he gets to their room, tells them what happened and gives them back $3, so each person gets $1 back, making each person's final cost $9.

so 3 x $9 = $27, plus the $2 the bellhop kept is $29. what happened to the other dollar?