Question

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 + $20). Where is the remaining $10?

Answer 1

The three auditors paid $90 each.

The three rooms costed $250, which means each room costed 250/3= $83.33. The bellboy kept $20, which means this tip of the bellboy costed each of them 20/3= $6.66

So, The $90 paid by each auditor involves room rent and the tip to bellboy.

So, the total of $270 is paid by them and the remaining $30 is returned back to them, which makes ($270+$30)= $300.

The total should be split as ($270+$30) as mentioned above and not as ($270+$20).