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Every student who studies journalism at a university receives one of t

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Carcass
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Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 02:30
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Every student who studies journalism at a university receives one of the following grades: P, F, W, or C. If 1/6 of the students receive P's, 1/5 receive F's, 1/2 receive W's, and 20 students receive C's, how many students in the university study journalism?


A. 100

B. 125

C. 150

D. 300

E. 500


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Re: Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 05:45
c) 150
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Re: Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 09:45
Can you explain how to solve this?

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Re: Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 11:06
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OE

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Let x = the number of students in the university studying journalism. The number of students who receive a P, F, or W = (1/6)x + (I/5)x + (l/2)x = (26/30)x. Then, (4/30)x = the 20 remaining students (C), so x = 150.
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Re: Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 14:48
Carcass wrote:
OE

Quote:
Let x = the number of students in the university studying journalism. The number of students who receive a P, F, or W = (1/6)x + (I/5)x + (l/2)x = (26/30)x. Then, (4/30)x = the 20 remaining students (C), so x = 150.


Where is the 26/30 from?

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Re: Every student who studies journalism at a university receives one of t [#permalink] New post   13 Jul 2022, 20:04
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It's the LCM.

\(W = \frac{1}{6}x + \frac{1}{5}x + \frac{1}{2}x = \frac{5 + 6 + 15}{30}x = \frac{26}{30}x\)

Rdlynch2 wrote:

Where is the 26/30 from?

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Re: Every student who studies journalism at a university receives one of t [#permalink]
13 Jul 2022, 20:04
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