Difference between revisions of "2016 AMC 8 Problems/Problem 10"
(Created page with "Suppose that <math>a * b</math> means <math>3a-b.</math> What is the value of <math>x</math> if <cmath>2 * (5 * x)=1</cmath> <math>\textbf{(A) }\frac{1}{10} \qquad\textbf{(B)...") |
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==Solution== | ==Solution== | ||
− | {{ | + | Let us plug in <math>(5 * x)=1</math> into <math>3a-b</math>. Thus it would be <math>3(5)-x</math>. Now we have <math>2*(15-x)=1</math>. Plugging <cmath>2*(15-x)</cmath>into <math>3a-b</math>. We have <math>6-15+x=1</math>. Solving for <math>x</math> we have <cmath>-9+x=1</cmath><cmath>x=\boxed{\textbf{(D)} 10}</cmath> |
Revision as of 09:42, 23 November 2016
Suppose that means
What is the value of
if
Solution
Let us plug in into
. Thus it would be
. Now we have
. Plugging
into
. We have
. Solving for
we have