AMC10 2011 B

AMC10 2011 B · Q4

AMC10 2011 B · Q4. It mainly tests Arithmetic misc.

LeRoy and Bernardo went on a week-long trip together and agreed to share the costs equally. Over the week, each of them paid for various joint expenses such as gasoline and car rental. At the end of the trip it turned out that LeRoy had paid A dollars and Bernardo had paid B dollars, where A < B. How many dollars must LeRoy give to Bernardo so that they share the costs equally?

LeRoy 和 Bernardo 一起进行了一次为期一周的旅行，并同意平分费用。在一周内，他们各自支付了各种共同费用，如汽油和租车费用。旅行结束时，LeRoy 支付了 A 美元，Bernardo 支付了 B 美元，其中 A < B。LeRoy 必须给 Bernardo 多少美元才能平分费用？

(A) $\frac{A + B}{2}$ $\frac{A + B}{2}$

(B) $\frac{A - B}{2}$ $\frac{A - B}{2}$

(D) B - A B - A

(E) A + B A + B

Answer

Correct choice: (C)

正确答案：（C）

Solution

Answer (C): Bernardo has paid B − A dollars more than LeRoy. If LeRoy gives Bernardo half of that difference, (B−A)/2, then each will have paid the same amount.

答案 (C)：Bernardo 比 LeRoy 多支付了 B − A 美元。如果 LeRoy 给 Bernardo 这差额的一半，即 (B−A)/2，那么每个人支付的金额就相同了。

Topics

AR.015 Arithmetic misc