AMC10 2006 B

AMC10 2006 B · Q3

AMC10 2006 B · Q3. It mainly tests Systems of equations.

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?

两队——美洲狮队和黑豹队进行了一场足球比赛。两队总共得了34分，美洲狮队赢了14分。黑豹队得了多少分？

(A) 10 10

(B) 14 14

(D) 20 20

(E) 24 24

Answer

Correct choice: (A)

正确答案：（A）

Solution

(A) Let $c$ and $p$ represent the number of points scored by the Cougars and the Panthers, respectively. The two teams scored a total of 34 points, so $c+p=34$. The Cougars won by 14 points, so $c-p=14$. The solution is $c=24$ and $p=10$, so the Panthers scored 10 points.

（A）设 $c$ 和 $p$ 分别表示 Cougars 和 Panthers 得到的分数。两队总共得了 34 分，所以 $c+p=34$。Cougars 赢了 14 分，所以 $c-p=14$。解得 $c=24$、$p=10$，因此 Panthers 得了 10 分。

Topics

AL.002 Systems of equations