题目

Kim and Sue each bought some roses and some daisies at the prices shown above. If Kim bought the same total number of roses and daisies as Sue, was the price of Kim’s purchase of roses and daisies higher than the price of Sue’s purchase of roses and daisies?


(1) Kim bought twice as many daisies as roses.


(2) Kim bought 4 more roses than Sue bought.

选项

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.


B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.


C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.


D.

EACH statement ALONE is sufficient.


E.

Statements (1) and (2) TOGETHER are NOT sufficient.

解析

金姆和苏各自以上述价格购买了一些玫瑰和雏菊。如果金购买的玫瑰和雏菊的总数与苏相同,那么金购买玫瑰和雏菊的总价是否高于苏购买玫瑰和雏菊的总价? 这里涉及两种花——玫瑰和雏菊,其中玫瑰的价格比雏菊高。 现在金姆(K)和苏(S)买的花总数相同(都是玫瑰和雏菊的组合)。 所以,既然玫瑰更贵,那么谁买的玫瑰**数量更多**,谁花的钱就会更多。 我们来分析两个条件: **(1)金姆买的雏菊数量是玫瑰的两倍** 这个条件完全没提到苏买了什么。 如果苏买的玫瑰和雏菊数量相等,那苏花的钱更多。 如果苏买的雏菊数量是玫瑰的三倍,那金姆买的玫瑰更多,花的钱也更多。 → **条件不充分** **(2)金姆买的玫瑰比苏多4朵** 这正好是我们需要的关键信息。 金姆多买了4朵玫瑰,因此他会多花 \(4 \times (1-0.5) = 2\) 美元。 → **条件充分** **答案:B**
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