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In a certain orchestra, each musician plays only one instrum

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GRE Prep Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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In a certain orchestra, each musician plays only one instrum [#permalink] New post 17 Aug 2018, 17:08
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In a certain orchestra, each musician plays only one instrument and the ratio of musicians who play either the violin or the viola to musicians who play neither instrument is 5 to 9. If 7 members of the orchestra play the viola and four times as many play the violin, how many play neither?

(A) 14
(B) 28
(C) 35
(D) 63
(E) 72
[Reveal] Spoiler: OA

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Re: In a certain orchestra, each musician plays only one instrum [#permalink] New post 18 Aug 2018, 12:14
Viola,Violin/Neither = 5/9

Now, members playing viola = 7
members playing violin = 28

Total Viola/Violin players = 7 + 28 = 35

Now,

35/Neither = 5/9

Thus, members playing neither = 9*35/5
= 63
Re: In a certain orchestra, each musician plays only one instrum   [#permalink] 18 Aug 2018, 12:14
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In a certain orchestra, each musician plays only one instrum

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