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2006 AMC 12B Problem 3

Problem 3 of 25EasierAlgebra

A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of 3434 points, and the Cougars won by a margin of 1414 points. How many points did the Panthers score?

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Solution

Let cc and pp be the Cougars’ and Panthers’ scores. Then c+p=34c + p = 34 and c−p=14.c - p = 14. Subtracting gives 2p=20,2p = 20, so p=10.p = 10. Thus, the correct answer is A.
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