Difference between revisions of "2006 AMC 12B Problems/Problem 3"

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== Problem ==
 
== Problem ==
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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?
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<math>
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\text {(A) } 10 \qquad \text {(B) } 14 \qquad \text {(C) } 17 \qquad \text {(D) } 20 \qquad \text {(E) } 24
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</math>
  
 
== Solution ==
 
== Solution ==
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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>.
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== See also ==
 
== See also ==
 
* [[2006 AMC 12B Problems]]
 
* [[2006 AMC 12B Problems]]

Revision as of 14:05, 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