HKD1710 wrote:
In a student body the ratio of men to women was 1 to 4. After 140 additional men were admitted, the ratio of men to women became 2 to 3. How large was the student body after the additional men were admitted?
(A) 700
(B) 560
(C) 280
(D) 252
(E)224
The initial ratio of men to women was m:4m.
\(\frac{m+140}{4m} =\frac{2}{3}\)
\( 3m+420 =8m\)
\( 5m =420\)
\( m =84\)
That's the initial number of men. We added 140, so we ended up with 224 men.
We have 4m = 336 women.
224+336 = 560
Answer choice B.
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