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

Revision as of 10:39, 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 $B$

Revision as of 21:42, 6 February 2013 (view source) Epicwisdom (talk \| contribs) (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...")		Revision as of 10:39, 8 February 2013 (view source) Kx1001678 (talk \| contribs) m Newer edit →
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−	<math>18</math>	+	<math>18</math>, which is <math>B</math>