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In a certain orchestra, each musician plays only one instrum

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sandy

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Joined: 07 Jun 2014

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GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

In a certain orchestra, each musician plays only one instrum [#permalink]

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

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parseltongue

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Joined: 13 Jul 2018

Posts: 33

GRE 1: Q159 V151

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WE:Programming (Computer Software)

Re: In a certain orchestra, each musician plays only one instrum [#permalink]

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

gmatclubot

[#permalink]

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