题目

Party Cranberry is 3 parts cranberry juice and 1 part seltzer. Fancy Lemonade is 1 part lemon juice and 2 parts seltzer. An amount of Party Cranberry is mixed with an equal amount of Fancy Lemonade.


Quantity A

The fraction of the resulting mix that is cranberry juice

Quantity B

The fraction of the resulting mix that is seltzer

选项

A.

Quantity A is greater.


B.

Quantity B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.

解析

可以按**总份数**的关系来做: - **蔓越莓派对鸡尾酒 (Party Cranberry)**:比例为 **3:1** —— 总份数 = \(3+1 = 4\) 份 - **花式柠檬水 (Fancy Lemonade)**:比例为 **1:2** —— 总份数 = \(1+2 = 3\) 份 4 和 3 的**最小公倍数**是 **12**。 将两种饮品的比例分别按总份数为12进行放大: - 蔓越莓派对鸡尾酒 ×3(总份数变为12):**9 : 3** - 花式柠檬水 ×4(总份数变为12):**4 : 8** 由此可知,在相同的总份数下: - 蔓越莓的量 = 9 份 - 苏打水(seltzer)的量 = \(3 + 8 = 11\) 份 因为 \(11 > 9\),所以 **B 量(苏打水)更大**。
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