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

(Created page with '== Problem == == Solution == == See also == {{AMC12 box|year=2011|num-b=5|num-a=7|ab=A}}')
 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== 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 <math>61</math> points. How many free throws did they make?
 +
 +
<math>
 +
\textbf{(A)}\ 13 \qquad
 +
\textbf{(B)}\ 14 \qquad
 +
\textbf{(C)}\ 15 \qquad
 +
\textbf{(D)}\ 16 \qquad
 +
\textbf{(E)}\ 17 </math>
 +
 
== 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 01:32, 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