2020 AMC 8 Problem 5

Attempt Problem 5 of the 2020 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 55 cups. What percent of the total capacity of the pitcher did each cup receive?
55
1010
1515
2020
2525
Answer: C
Concepts:fractionpercentage
Small hint:
Each cup gets one fifth of 34\frac{3}{4} of the pitcher
Big hint:
Convert 320\frac{3}{20} to a percent
Video solution:
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Written solution:
Each cup receives one fifth of the 34\dfrac{3}{4} of a pitcher, or 15⋅34=320=15%. \dfrac{1}{5}\cdot\dfrac{3}{4}=\dfrac{3}{20}=15\%.
Thus, the correct answer is C.
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