2006 AMC 12B Problems/Problem 3
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?
Solution
Solution 1
If the Cougars won by a margin of 14 points, then the Panthers' score would be half of (34-14). That's 10 .
Solution 2
Let the Panthers' score be . The Cougars then scored
. Since the teams combined scored
, we get
,
and the answer is
.
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 2 |
Followed by Problem 4 |
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All AMC 12 Problems and Solutions |
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