AMC 8 2020 Problem 5
AMC8 2020 年第 5 题
百分比★☆☆☆☆
Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. What percent of the total capacity of the pitcher did each cup receive?
一个水罐装了总容积四分之三的菠萝汁，把水罐里所有的菠萝汁平均倒到 5 个杯子里。那么每个杯子里菠萝汁的量占了水罐总容量的百分之几？
- A.5
- B.10
- C.15
- D.20
- E.25
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Each cup is filled with of the amount of juice in the pitcher, so the percentage is .
The pitcher is full, i.e. 75% full. Therefore each cup receives percent of the total capacity.
Assume that the pitcher has a total capacity of 100 ounces. Since it is filled three fourths with pineapple juice, it contains 75 ounces of pineapple juice, which means that each cup will contain ounces of pineapple juice. Since the total capacity of the pitcher was 100 ounces, it follows that each cup received 15% of the total capacity of the pitcher, yielding 15 as the answer.
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