Art of Problem Solving

2006 AMC 12B Problems/Problem 3: Difference between revisions

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== Problem ==
== 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?
<math>
\text {(A) } 10 \qquad \text {(B) } 14 \qquad \text {(C) } 17 \qquad \text {(D) } 20 \qquad \text {(E) } 24
</math>


== Solution ==
== Solution ==
If the Cougars won by a margin of 14 points, then the Panthers' score would be half of (34-14). That's 10 <math>\Rightarrow \text{(A)}</math>.


== See also ==
== See also ==
* [[2006 AMC 12B Problems]]
* [[2006 AMC 12B Problems]]

Revision as of 13:05, 13 November 2007

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?

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

Solution

If the Cougars won by a margin of 14 points, then the Panthers' score would be half of (34-14). That's 10 $\Rightarrow \text{(A)}$.


See also