题目

P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van?


选项

A.

Dx

B.

C.

D.

E.

解析

初始人数:\( P \) 总租金:\( X \)美元 初始每人租金:\( \frac{X}{P} \)美元/人 离开的人数:\( D \) 剩余人数:\( P - D \) 现在每人租金为:\( \frac{X}{P-D} \)美元/人 每人多支付的金额为:\( \frac{X}{P-D} - \frac{X}{P} = \frac{XD}{P(P-D)} \) 答案:D
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