Difference between revisions of "2013 AMC 12A Problems/Problem 6"
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| + | == Problem== | ||
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| + | In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on <math>20\%</math> of her three-point shots and <math>30\%</math> of her two-point shots. Shenille attempted <math>30</math> shots. How many points did she score? | ||
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| + | <math> \textbf{(A)}\ 12\qquad\textbf{(B)}\ 18\qquad\textbf{(C)}\ 24\qquad\textbf{(D)}\ 30\qquad\textbf{(E)}\ 36 </math> | ||
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| + | ==Solution== | ||
Let the number of 3-point shots attempted be <math>x</math>. Since she attempted 30 shots, the number of 2-point shots attempted must be <math>30 - x</math>. | Let the number of 3-point shots attempted be <math>x</math>. Since she attempted 30 shots, the number of 2-point shots attempted must be <math>30 - x</math>. | ||
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<math>18</math>, which is <math>B</math> | <math>18</math>, which is <math>B</math> | ||
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| + | == See also == | ||
| + | {{AMC12 box|year=2013|ab=A|num-b=5|num-a=7}} | ||
Revision as of 17:34, 22 February 2013
Problem
In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on 
of her three-point shots and 
of her two-point shots. Shenille attempted 
shots. How many points did she score?
Solution
Let the number of 3-point shots attempted be 
. Since she attempted 30 shots, the number of 2-point shots attempted must be 
.
Since she was successful on , or 
, of her 3-pointers, and , or 
, of her 2-pointers, then her score must be
, which is 
See also
| 2013 AMC 12A (Problems • Answer Key • Resources) | |
| 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 | |
