AMC8 2020

AMC8 2020 · Q5

AMC8 2020 · Q5. It mainly tests Fractions, Percent.

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?

一个水壶有四分之三装满了菠萝汁。水壶通过将等量的汁倒入 5 个杯子中而被清空。每个杯子接收了水壶总容量的百分之多少？

(A) 5 5

(B) 10 10

(D) 20 20

(E) 25 25

Answer

Correct choice: (C)

正确答案：（C）

Solution

Each cup is filled with $\frac{3}{4} \cdot \frac{1}{5} = \frac{3}{20}$ of the amount of juice in the pitcher, so the percentage is $\frac{3}{20} \cdot 100 = \boxed{\textbf{(C) }15}$.

每个杯子装满了 $\frac{3}{4} \cdot \frac{1}{5} = \frac{3}{20}$ 的水壶中汁液量，所以百分比是 $\frac{3}{20} \cdot 100 = \boxed{\textbf{(C) }15}$。

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