Bunuel wrote:

The enrollment at a local private school for the new school year is 10% more than the enrollment at this time last year. The number of female students increased by 5%, and the number of male students increased by 20%. Female students make up what fraction of the current enrollment at the private school?

(A) 1/5

(B) 4/11

(C) 1/2

(D) 7/11

(E) 4/5

Let the total number of students be 300.

Since the enrollment saw a 10% increase, the enrollment for this new school year is 330

Now, the current male students are x and the current female students are 300 - x

The overall increase in enrollment is the sum of the increase in men and the increase in women

\(0.2x + 0.05(300 - x) = 30\)

\(0.20x + 15 - 0.05x = 30\)

\(0.15x = 15\) -> x = \(\frac{15}{0.15} = 100\)

Therefore, the current female students are \(1.05*(200) = 210\) and the percentage of female students is \(\frac{210}{330}\) or \(\frac{7}{11}\)

(Option D)
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