Sunday, March 6, 2011

Where is the $18 in this question?

Three friends go to stay at a hotel. They are charged $120 for the room. They split the cost and each friend pays $40 for the room. Later after speaking to other guests at the hotel, they learn that they have overpayed for the room. After talking to the manager, the manager agrees to refund them some money. The manager decides that $90 is a fair price and sends the bellboy with a refund of $30 to the friends' room. The bellboy decides to cheat the friends and pockets $6, giving them each only an $8 refund. Now each friend has paid $32 for the room. The amount each friend payed multiplied by the 3 friends plus the amount the bellboy stole but the paid $120 originally. So, where is the missing $18. Show work and explain.

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