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# faculty combined, 1/3 of the female and 2/9 of the male

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GRE Prep Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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faculty combined, 1/3 of the female and 2/9 of the male [#permalink]  08 Jan 2016, 09:06
Expert's post
00:00

Question Stats:

72% (02:56) correct 27% (04:22) wrong based on 18 sessions
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#GRepracticequestion For the biological sciences and health sciences.jpg [ 65.07 KiB | Viewed 1416 times ]

For the biological sciences and health sciences faculty combined, $$\frac{1}{3}$$ of the female and $$\frac{2}{9}$$ of the male faculty members are tenured professors. What
fraction of all the faculty members in those two fields combined are tenured professors?

[Reveal] Spoiler: OA
$$\frac{24}{87}$$

Practice Questions
Question: 3
Page: 162
Difficulty: hard

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 132

Kudos [?]: 2076 [2] , given: 397

Re: faculty combined, 1/3 of the female and 2/9 of the male [#permalink]  08 Jan 2016, 19:38
2
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Expert's post
Solution

Here we have from the question fractions of faculty with tenure

 Female Male 1/3 2/9

Now taking the data from the graph we get

 Female Male 5% + 16% = 21% 10% + 8%= 18% 21% 0f 200 18% of 250 42 45

Thus we have the total number of faculty member. Now we need to find out the fraction with tenure

 Female Male 1/3 of 42 2/9 of 45 14 10

Thus the ratio of tenured to non tenures is $$\frac{(14 +10)}{(42 + 45)}$$=$$\frac{24}{87}$$
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Sandy
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Intern
Joined: 12 Nov 2017
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Kudos [?]: 11 [1] , given: 32

Re: faculty combined, 1/3 of the female and 2/9 of the male [#permalink]  09 Oct 2018, 01:49
1
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I took 3 mins 20 s to do this question.
Founder
Joined: 18 Apr 2015
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Kudos [?]: 1685 [0], given: 7386

Re: faculty combined, 1/3 of the female and 2/9 of the male [#permalink]  09 Oct 2018, 09:36
Expert's post
Do not get discouraged.

The secret lies to read very carefully the stem and what the question is asking you.

All the information are there in the graph
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Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0

Kudos [?]: 9 [0], given: 60

Re: faculty combined, 1/3 of the female and 2/9 of the male [#permalink]  09 Dec 2018, 12:11
Why can't we do the following:

#females bio: .05*200 = 10
#males bio: .16*250=20
likewise,
#females health: 40
# males health: 20

#tenured females in bio & health: (5)*1/3 = 16.667
#tenured males in bio & health: (20)*(2/9) = 4.444
#tenured females: (1/3)*200 = 66.66
#tenured males: (2/9)*250 = 55.55

Thus final ratio would be (16.667 + 4.44)/(66.66 + 55.55).

Please show me the fallacy in my logic.
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