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2006 AMC 10B Problems/Problem 3

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Problem

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?

\mathrm{(A) \ } 10\qquad \mathrm{(B) \ } 14\qquad \mathrm{(C) \ } 17\qquad \mathrm{(D) \ } 20\qquad \mathrm{(E) \ } 24

Solution

Let x be the number of points scored by the Cougars, and y be the number of points scored by the Panthers. The problem is asking for the value of y.

x+y=34

x-y=14

2x=48

x=24

y=10 \Rightarrow A

See Also

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