2006 AMC 10B 第 3 题

Question

Cougars 和 Panthers 两队进行了一场橄榄球比赛。两队总共得

34

分，Cougars 以

14

分优势获胜。Panthers 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

设两队得分为

c

和

p

，且

c+p=34

。

Let the two scores be

c

and

p

with

c+p=34

获胜分差给出

c-p=14

。

The winning margin gives

c-p=14

设

c

和

p

分别为 Cougars 和 Panthers 的得分。则

c+p=34

，且

c-p=14

。两式相减得

2p=20

，所以

p=10

。

所以正确答案是 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.

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