2020 AMC 8

Complete problem set with solutions and individual problem pages

Problem 5 Easy

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

Answer:C

Solution 1

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}.

 

Solution 2

The pitcher is \frac{3}{4} full, i.e. 75\% full. Therefore each cup receives \frac{75}{5}=\boxed{\textbf{(C) }15} percent of the total capacity.

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