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Problem 337

Algebra Difficulty 2.3 Find the answer CEMC Fermat

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

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

The percentage 50% 50\% is equivalent to the fraction 12 \frac{1}{2} , while 75% 75\% is equivalent to 34 \frac{3}{4} . Since 50% 50\% of N N is 16, then 12N=16 \frac{1}{2}N=16 or N=32 N=32 . Therefore, 75% 75\% of N N is 34N \frac{3}{4}N or 34(32) \frac{3}{4}(32) , which equals 24.

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