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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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77% (02:34) correct
23% (01:42) wrong based on 180 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 \(\frac{2}{5}x\);
Re: Of all the students in a certain dormitory, 1/2 are first-ye [#permalink]
01 Sep 2014, 18:09
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