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2019 AMC 12A Problem 2

Problem 2 of 25EasierAlgebra

Suppose aa is 150%150\% of b.b. What percent of aa is 3b?3b?

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Solution

Since a=1.5b,a = 1.5b, we have 3ba=3b1.5b=2. \dfrac{3b}{a} = \dfrac{3b}{1.5b} = 2. As a percentage, 3b3b is 200%200\% of a.a. Thus, the correct answer is D.

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Concepts: percentage · ratio and proportion

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.