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Of all the students in a certain dormitory, 1/2 are first-ye [#permalink]
27 Dec 2009, 09:47

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Difficulty:

25% (low)

Question Stats:

77% (02:21) correct
22% (01:18) wrong based on 70 sessions

Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?

I think you dropped a fraction when you typed/copied this in. Working backward from the spoiler answer, I'm thinking the second sentence should read as follows? Please confirm.

"If 4/5 of the first-year students have not declared a major ..."
_________________

Emily Sledge | Manhattan GMAT Instructor | St. Louis

Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?

\frac{4}{5}x of the first-year students have not declared a major --> \frac{1}{5}x declared;

Second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major =\frac{3}{5}x --> who have not \frac{2}{5}x;