Question 7

In a city, $$40\%$$ of the adults are uneducated while $$85\%$$ of the children are educated. If the ratio of the number of adults to that of the children is $$2 \colon 3$$, then what percent of the population is educated?

Adults are $$\frac{2}{5}$$ and children $$\frac{3}{5}$$ of the population. Educated adults are $$60\%$$ of $$\frac{2}{5}$$, which is $$24\%$$, and educated children are $$85\%$$ of $$\frac{3}{5}$$, which is $$51\%$$. So $$24\% + 51\% = 75\%$$ of the population is educated.

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