Problem: In a certain class,$\frac{1}{2}$ of the male and $\frac{2}{3}$ of the female students speaks English. If there are $\frac{4}{3}$ as many females as males in the class, what fraction of the entire class speaks English?
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Correct Answer: $\frac{7}{4}$
Explanation:
Let, total students = x
Given % as many females as males in the class
Let, Male students = 4x
And female students = 3x
Total students = (4x + 3x) = 7x
Male students speak English = 4x + 2 = 2.:
Female students speak English = 3x of $\frac{2}{3}$ = 2x
Total speaks English in class = (2x + 2x) = 4x
So, Fraction = $\frac{4x}{7x}$ = $\frac{7}{4}$