Question

Cougars 队和 Panthers 队进行了一场橄榄球比赛。两队总共得了 $34$ 分，Cougars 队以 $14$ 分的优势获胜。Panthers 队得了多少分？

A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of $34$ points, and the Cougars won by a margin of $14$ points. How many points did the Panthers score?

$10$

$14$

$17$

$20$

$24$

答案：A

知识点：方程组

难度评级：940

小提示：

设两队得分为 $c$ 和 $p$ ，则 $c + p = 34$ ，且 $c - p = 14$ 。

Let $c$ and $p$ be the two scores, with $c + p = 34$ and $c - p = 14$

大提示：

两个方程相减可得到 $2p$

Subtracting the two equations isolates $2p$

解答：

设 Cougars 和 Panthers 的得分分别为 $c$ 和 $p$ ，则 $c + p = 34$ ，且 $c - p = 14$ 。

相减得 $2p = 20$ ，所以 $p = 10$ 。

因此，正确答案是 A。

Let $c$ and $p$ be the Cougars’ and Panthers’ scores. Then $c + p = 34$ and $c - p = 14.$

Subtracting gives $2p = 20,$ so $p = 10.$

Thus, the correct answer is A.

2006 AMC 12B 第 3 题

答案：A

难度评级：940

小提示：

大提示：

解答：

其他年份的第 3 题