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2013 AMC 12A Problem 6

Problem 6 of 25EasierArithmeticProblem-Solving Techniques

In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on 20%20\% of her three-point shots and 30%30\% of her two-point shots. Shenille attempted 3030 shots. How many points did she score?

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Solution

If Shenille attempted xx three-point shots and 30−x30 - x two-point shots, she scored 0.2⋅3⋅x+0.3⋅2⋅(30−x)=0.6x+0.6(30−x)=0.6⋅30=18 \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.
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