Question

一支篮球队投进了一些三分球、两分球和一分罚球。他们通过两分球得到的分数与通过三分球得到的分数相同。他们投进的罚球数比投进的两分球数多一个。该队总得分为 $61$ 分。他们投进了多少个罚球？

The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team's total score was $61$ points. How many free throws did they make?

$13$

$14$

$15$

$16$

$17$

答案：A

知识点：一次方程

难度评级：960

解答：

设投进的两分球数为 $x$ ，则化简得 $2x + 2x + (x + 1) = 61,$ $5x + 1 = 61$ $x = 12.$

因此罚球数为 $12 + 1 = 13$ 。

所以正确答案是 A。

Let $x$ be the number of successful two-point shots. Then we have that $2x + 2x + (x + 1) = 61,$ which simplifies to $5x + 1 = 61$ $x = 12.$

The number of successful free throws is then $12 + 1 = 13.$

Thus, A is the correct answer.

2011 AMC 10A 第 12 题

答案：A

难度评级：960

解答：

其他年份的第 12 题