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?
A. 5
B. 10
C. 15
D. 20
E. 25

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Worked solution

1. 2020 AMC 8 官方解析

Each cup received one fifth of three fourths of the pitcher. This corresponds to a percentage of
15⋅34=320=15100=15%\frac{1}{5} \cdot \frac{3}{4} = \frac{3}{20} = \frac{15}{100} = 15\%.
每个杯子被倒入果汁的量为壶中四分之三容量的五分之一.故每个杯子里的果汁占壶的总容量的百分比为15⋅34=320=15100=15%\frac{1}{5} \cdot \frac{3}{4} = \frac{3}{20} = \frac{15}{100} = 15\%.

The juice filled up 75%75\% of the pitcher, so each of the 5 cups received
15⋅75%=15%\frac{1}{5} \cdot 75\% = 15\%.
果汁填满了壶的75%75\%,所以5个杯子中的每杯都被倒入了
15⋅75%=15%\frac{1}{5} \cdot 75\% = 15\%.

Answer

C. 15

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