2019 AMC 12A Problems/Problem 2

Problem

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

$\textbf{(A) } 50 \qquad \textbf{(B) } 66\frac{2}{3} \qquad \textbf{(C) } 150 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 450$

$a=1.5b$

Therefore,

$b=a/1.5$

$3b=2a$

$2a$ is $\boxed{200}$ of $a$ .

2019 AMC 12A (Problems • Answer Key • Resources)
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