AMC10 2013 A

AMC10 2013 A · Q9

AMC10 2013 A · Q9. It mainly tests Linear equations, Ratios & proportions.

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?

在一场最近的篮球比赛中，Shenille只尝试三分球和两分球。她三分球命中率为20%，两分球命中率为30%。Shenille总共尝试了30次投篮。她总共得了多少分？

(A) 12 12

(B) 18 18

(D) 30 30

(E) 36 36

Answer

Correct choice: (B)

正确答案：（B）

Solution

Answer (B): If Shenille attempted $x$ three-point shots and $30-x$ two-point shots, then she scored a total of $\frac{20}{100}\cdot 3\cdot x+\frac{30}{100}\cdot 2\cdot (30-x)=18$ points. Remark: The given information does not allow the value of $x$ to be determined.

答案（B）：如果 Shenille 尝试了 $x$ 次三分投篮和 $30-x$ 次两分投篮，那么她总共得到 $\frac{20}{100}\cdot 3\cdot x+\frac{30}{100}\cdot 2\cdot (30-x)=18$ 分。备注：所给信息不足以确定 $x$ 的值。

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