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
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**。