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11 Mar 2008, 12:19
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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?
1/15 1/5 4/15 1/3 2/5
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?
1/15 1/5 4/15 1/3 2/5
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11 Mar 2008, 17:37
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Total first yr. student ratio = 1/2
1st year Student who did not declare major = 1/2 * 4/5 = 2/5
1st year Student who did declare major = 1/2 * 1/5 = 1/10
2nd year Student who did declare major = 3 * 1/10 = 3/10
2nd year Student who did not declare major = 1/2 - 3/10 = 1/5
Answer B.
1st year Student who did not declare major = 1/2 * 4/5 = 2/5
1st year Student who did declare major = 1/2 * 1/5 = 1/10
2nd year Student who did declare major = 3 * 1/10 = 3/10
2nd year Student who did not declare major = 1/2 - 3/10 = 1/5
Answer B.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
