Difference between revisions of "2013 AMC 12A Problems/Problem 6"

(Created page with "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>. Since she was succe...")
 
m
Line 15: Line 15:
  
  
<math>18</math>
+
<math>18</math>, which is <math>B</math>

Revision as of 11:39, 8 February 2013

Let the number of 3-point shots attempted be $x$. Since she attempted 30 shots, the number of 2-point shots attempted must be $30 - x$.

Since she was successful on $20\%$, or $\frac{1}{5}$, of her 3-pointers, and $30\%$, or $\frac{3}{10}$, of her 2-pointers, then her score must be

$\frac{1}{5}*3x + \frac{3}{10}*2(30-x)$


$\frac{3}{5}*x + \frac{3}{5}(30-x)$


$\frac{3}{5}(x+30-x)$


$\frac{3}{5}*30$


$18$, which is $B$