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There are these three people traveling cross country, as they are passing through one state, they begin to get tired, so they look for a hotel. When they find one, the manager tells them there is one room left, but its a single room. The three of them decide to take the room anyway, so the manager charges them $30 for the room, they each pay $10. They get to the room and get settled in, and the manager thinks to himself "three people in one single room, I feel kind of bad, I guess I can give them a small refund." He calls the bellman over and says to him, "I'm giving those people that just checked in a $5 refund, so here, please take it up to them." On the way up to the room, the bell man is thinking, five dollars cant be split three ways, so he keeps $2 for himself and gives the remaining $3 to the three guests, which would mean they each basically paid $9 each for the room. So, $9 each times 3 people equals $27, plus the $2 the bellman has makes it $29. Where did the remaining dollar go?
The solution is all over the Internet. From one site:
The answer comes from a logical fallacy: "This means that each man paid $9 for the room." Where did the $9 come from? It came from 30-3?3=9. Why on earth would you subtract $3, though? They were out $5. The math done properly should be 30-5?3=8.33. Replace the $9 with that number and the problem works out just fine (minus the penny we just lost in rounding down).
This means that each man paid $8.33 for the room. $8.33 times the three men is $25. Now add the $2 the bellboy took, plus the $3 that was returned to them and that is $30. There is no reason to add the $2 back in because it was in the $9 each of them paid.
forgive me, I been awake 22 hours. with two cups of coffee (extra strong) and a 20 oz bottle of coke cola in me, and working on my third cup of coffee.
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