2013 AMC 12A Problems/Problem 6

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

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

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

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

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

$18$

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