2019 AMC 12A Problem 2 — Solution | LIVE by Po-Shen Loh

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2019 AMC 12A Problem 2

Attempt Problem 2 of the 2019 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 12A solutions, or check the answer key.

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

2.

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

$50$

$66\dfrac{2}{3}$

$150$

$200$

$450$

Answer: D

Concepts:percentage ratio and proportion

Difficulty rating: 770

Solution:

Since $a = 1.5b,$ we have $\dfrac{3b}{a} = \dfrac{3b}{1.5b} = 2.$

As a percentage, $3b$ is $200\%$ of $a.$

Thus, the correct answer is D.

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