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# Out of the 12,000 students and faculty at a certain university, there

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Out of the 12,000 students and faculty at a certain university, there  [#permalink]

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27 Feb 2019, 04:46
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:59) correct 29% (03:08) wrong based on 51 sessions

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Out of the 12,000 students and faculty at a certain university, there are 5 times as many students as there are faculty. There are 200 more female faculty members than there are male faculty members. If the university contains a combined total of 6,425 male students and faculty, how many female students are there?

A. 900
B. 1,100
C. 4,475
D. 5,525
E. 6,425

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Re: Out of the 12,000 students and faculty at a certain university, there  [#permalink]

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27 Feb 2019, 06:14
Bunuel wrote:
Out of the 12,000 students and faculty at a certain university, there are 5 times as many students as there are faculty. There are 200 more female faculty members than there are male faculty members. If the university contains a combined total of 6,425 male students and faculty, how many female students are there?

A. 900
B. 1,100
C. 4,475
D. 5,525
E. 6,425

very wordy and confusing question ...

given
students + faculty = 12,000
and students = 5* faculty
so students = 10,000 and faculty = 2,000
male faculty +200= female faculty
so female faculty = 1100 and male faculty 900

also 6425 = males students + male faculty
male students = 10,000-female students
so
10,000-female students-900=6425
female students = 4475
IMO C
Re: Out of the 12,000 students and faculty at a certain university, there   [#permalink] 27 Feb 2019, 06:14
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