Problem:
A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of points, and the Cougars won by a margin of points. How many points did the Panthers score?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let and represent the number of points scored by the Cougars and the Panthers, respectively. The two teams scored a total of points, so . The Cougars won by points, so . The solution is and , so the Panthers scored points.
The problems on this page are the property of the MAA's American Mathematics Competitions