Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.3 Junior Find the answer

If $50\%$ of $N$ is 16, what is $75\%$ of $N$ ?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

The percentage $50\%$ is equivalent to the fraction $\frac{1}{2}$ , while $75\%$ is equivalent to $\frac{3}{4}$ . Since $50\%$ of $N$ is 16, then $\frac{1}{2}N=16$ or $N=32$ . Therefore, $75\%$ of $N$ is $\frac{3}{4}N$ or $\frac{3}{4}(32)$ , which equals 24.

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