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At a certain school, the ratio of the number of English

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At a certain school, the ratio of the number of English [#permalink] New post 30 Mar 2013, 08:49
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At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors?

(A) 25 to 3
(B) 10 to 9
(C) 9 to 50
(D) 6 to 25
(E) 3 to 10
[Reveal] Spoiler: OA

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Re: At a certain school, the ratio of the num [#permalink] New post 30 Mar 2013, 08:57
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\frac{E}{S} = \frac{5}{2}, \frac{P}{S}=\frac{3}{4}, \frac{H}{E}=\frac{5}{3}

\frac{P}{H}=?

\frac{P}{H}=\frac{P}{S}*\frac{S}{E}*\frac{E}{H}

\frac{P}{H}=\frac{3}{4}*\frac{2}{5}*\frac{3}{5}

\frac{P}{H}=\frac{9}{50}
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Re: R: At a certain school, the ratio of the number of English [#permalink] New post 31 Mar 2013, 05:36
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Re: R: At a certain school, the ratio of the number of English   [#permalink] 31 Mar 2013, 05:36
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