2020 AMC 8 Problem 15

Attempt Problem 15 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).

15.

Suppose 15%15\% of xx equals 20%20\% of y.y. What percentage of xx is y?y?
55
3535
7575
13313133 \frac{1}{3}
300300
Answer: C
Concepts:percentageratio and proportion
Small hint:
Translate the sentence as 0.15x=0.20y0.15x=0.20y
Big hint:
Solve for yx\frac{y}{x}
Video solution:
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Written solution:
The statement gives 0.15x=0.20y.0.15x=0.20y.
Solving for yy gives y=0.150.20x=34x.y=\dfrac{0.15}{0.20}x=\dfrac{3}{4}x.
Therefore, yy is 75%75\% of x.x.
Thus, the correct answer is C.
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