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In a research and development department

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Director
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Joined: 07 Jan 2018
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In a research and development department [#permalink] New post 18 Jan 2018, 00:18
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Question Stats:

53% (02:53) correct 46% (03:23) wrong based on 13 sessions
In a research and development department, 14 workers have a PhD, and 30 workers don't have a PhD degree. In the department, the number of women that do not have a PhD degree is 10 greater than the number of women who do have a PhD. If a third of the men working in the department have a PhD degree, then how many women work in the department?

A) 16
B) 18
C) 26
D) 28
E) 32
[Reveal] Spoiler: OA
1 KUDOS received
Director
Director
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Joined: 07 Jan 2018
Posts: 540
Followers: 4

Kudos [?]: 466 [1] , given: 83

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Re: In a research and development department [#permalink] New post 18 Jan 2018, 20:41
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let us suppose total number of men working in the department is m
and total number of women working in the department is w

Of the total women working in the department let us assume those that have a phd is A
hence those that do not have a phd = A+10

we are given 1/3 M have phd
hence 2/3 M do not have a phd

we have 1/3 M + A = 14 (those with phd).....i
and 2/3 M + A+10 = 30 >> 2/3 M + A = 20 (those without phd)...ii

subtracting eqn i from ii we get,
1/3 M = 6 hence, M = 18

Total number of people that work in the department = 44
Total number of Men that work in the department = 18
hence, total number of women working in the department = 44-18 = 26
(c)
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: In a research and development department   [#permalink] 18 Jan 2018, 20:41
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In a research and development department

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