Where did the extra dollar go?

3 Travelling salesmen, far from home, decide to get a room at a local hotel and split the costs. They ask the clerk "how much for a room?" The clerk tells them $30. They each pull out $10 and give it to the clerk. After a while, the clerk realizes that weekend rates apply, and the cost of the room is... show more 3 Travelling salesmen, far from home, decide to get a room at a local hotel and split the costs. They ask the clerk "how much for a room?" The clerk tells them $30. They each pull out $10 and give it to the clerk. After a while, the clerk realizes that weekend rates apply, and the cost of the room is only $25. He pulls 5 $1 bills out of the till and heads off to their room. As he's walking, he remembers that there's 3 of them, and 5 won't break evenly between 3 salesmen. So the clerk pockets $2, and gives them each $1 back.

So, now each of the salesmen have paid (net) $9 for the room. [Originally paid $10, got one back from clerk]

9x3=27

Clerk pocketed $2.

27+2=29?

Where's the extra dollar?
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