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Alright, in the order you worded it:
After staying: 3 customers @ -$10 each, Hotel @ +$30, total = $0
After refund: 3 customers @ -$9 each, Hotel @ +25, Manager @ +$2, total = $0.
Looks fine to me. No 'missing dollar' anywhere. The mistake is in trying to compare the original $30 paid with the totals after the 'creative accounting' by the manager. No money has gone missing.
Analogously, the customers could've paid the manager $27 to start, and he could have pocketed $2.
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Unsolvable math problem
Okay so three guys decide to split a hotel room. they go up to the hotel manager and he says the room is thirty dollars so they each pay ten dollars. Well later the manager realizes that the room is on sale that night for twenty five dollars but the...
manager doesn't know how to divide five dollars between three people so he keeps two and gives each guy one dollar. So that means each guy payed nine dollars right? Well multiply nine by three and you get 27 plus the two dollars that the manager kept is twenty nine... pretty crazy right?