CEMC Fermat, 2014

Algebra Difficulty 1.2 Junior Find the answer Canada

If $50\%$ of $N$ is 16, then $75\%$ of $N$ is

Pick one

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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