2013 AMC 12A Problem 6

Problem 6 of 25EasierAlgebra

In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on

20\%

of her three-point shots and

30\%

of her two-point shots. Shenille attempted

30

shots. How many points did she score?

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Solution

If Shenille attempted

x

three-point shots and

30 - x

two-point shots, she scored

\begin{gathered} 0.2\cdot 3\cdot x + 0.3\cdot 2\cdot(30 - x) \\ = 0.6x + 0.6(30 - x) \\ = 0.6\cdot 30 = 18 \end{gathered}

points. Thus, the correct answer is B.