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At College X, the faculty-to-student ratio is 1:9. If two-th [#permalink]

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03 Oct 2009, 17:22

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At College X, the faculty-to-student ratio is 1:9. If two-thirds of the students are female and one-quarter of the faculty is female, what fraction of the combined students and faculty are female?

(A) 11/24 (B) 5/8 (C) 25/56 (D) 11/12 (E) It cannot be determined from the information given.

Re: Ratio: System of Equation (Kaplan) [#permalink]

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03 Oct 2009, 17:32

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enfinity wrote:

At college x, the ratio of students to students is 1:9. If two thirds of the students are female and one quarter of faculty is female, what fraction of the combined students and faculty are female?

a) 11/24 b) 5/8 c) 23/47 d) 3/4 e) 2/3

Does someone know how to solve this one without picking numbers? This is how far I got:

p/s=1/9 f/s=2/3 f/p=1/4

Equation 2 and 3 give us:

f=2s/3 f=1p/4

Set equal 2s/3=1p/4; Reducing: s/p=3/8 (which does not agree with equation 1). Where did I go wrong?

Thanks Steve

Can you please recheck if this is correct question?

Re: Ratio: System of Equation (Kaplan) [#permalink]

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03 Oct 2009, 17:35

Sorry, that's the right question:

At college x, the ratio of faculty to students is 1:9. If two thirds of the students are female and one quarter of faculty is female, what fraction of the combined students and faculty are female?

Re: Ratio: System of Equation (Kaplan) [#permalink]

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03 Oct 2009, 17:48

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enfinity wrote:

Sorry, that's the right question:

At college x, the ratio of faculty to students is 1:9. If two thirds of the students are female and one quarter of faculty is female, what fraction of the combined students and faculty are female?

i simply picked 100 but faculty came in fraction....so picked up 200 in nxt interval

125/200 = 5/8 ...i didint take more than a minute to conclude option answer

Just wanted to chime in here. I know I've been beaten to the math, and the OP wanted to avoid picking numbers. However, for this problem picking numbers will be easier for many test takers. Picking 100 can make it difficult, though. Fortunately, there's a trick to it! A 1:9 ratio has a total of ten parts, we're taking thirds of the the faculty, and quarters of the students. So we need a number divisible by 10, 3, and 4; multiply them out and we get 120. Start there, and things work out much better! 12 faculty, 3 female faculty, 108 students, 72 female students, 75 females gives us 75/120 = 15/24 = 5/8.
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Re: Ratio: System of Equation (Kaplan) [#permalink]

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27 Apr 2014, 08:36

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Re: At College X, the faculty-to-student ratio is 1:9. If two-th [#permalink]

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01 Jul 2015, 02:39

enfinity wrote:

At College X, the faculty-to-student ratio is 1:9. If two-thirds of the students are female and one-quarter of the faculty is female, what fraction of the combined students and faculty are female?

(A) 11/24 (B) 5/8 (C) 25/56 (D) 11/12 (E) It cannot be determined from the information given.

Re: At College X, the faculty-to-student ratio is 1:9. If two-th [#permalink]

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29 Nov 2016, 22:50

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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