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2021 JMPSC Sprint Problems/Problem 1

Revision as of 20:43, 10 July 2021 by Samrocksnature (talk | contribs) (Created page with "== Problem == Compute <math>\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{9}\right)(3+6+9)</math>. == Solution == Solving the right side gives <math>3 + 6 + 9 = 18</math>. Distri...")
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Problem

Compute $\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{9}\right)(3+6+9)$.

Solution

Solving the right side gives $3 + 6 + 9 = 18$. Distributing into the left side gives $\frac{18}{3}+\frac{18}{6}+\frac{18}{9}$, so the answer is $6 + 3 + 2 = \boxed{11}$.

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