Difference between revisions of "2011 AMC 12A Problems/Problem 6"

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== Problem ==
 
== Problem ==
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The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team's total score was <math>61</math> points. How many free throws did they make?
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<math>
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\textbf{(A)}\ 13 \qquad
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\textbf{(B)}\ 14 \qquad
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\textbf{(C)}\ 15 \qquad
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\textbf{(D)}\ 16 \qquad
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\textbf{(E)}\ 17 </math>
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== Solution ==
 
== Solution ==
 
== See also ==
 
== See also ==
 
{{AMC12 box|year=2011|num-b=5|num-a=7|ab=A}}
 
{{AMC12 box|year=2011|num-b=5|num-a=7|ab=A}}

Revision as of 02:32, 10 February 2011

Problem

The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team's total score was $61$ points. How many free throws did they make?

$\textbf{(A)}\ 13 \qquad \textbf{(B)}\ 14 \qquad \textbf{(C)}\ 15 \qquad \textbf{(D)}\ 16 \qquad \textbf{(E)}\ 17$

Solution

See also

2011 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions