Utilizing your critical thinking skills, solve the following problem:
Three auditors checked into a hotel under one reservation. After paying $100 each to the hotel manager, they went to their individual rooms. The manager, noting that the total rate for the three rooms is $250, gives $50 to the bellboy to return to the three auditors. On the way to the rooms, the bellboy reasons that $50 would be difficult to share among three individuals, so he pockets $20 and gives each auditor $10. At this point, each person has paid $100 and gotten back $10. So they paid $90 each, for a total of $270. The bellboy kept $20, making the total $290 ($270 þ $20). Where is the remaining $10?