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# In a certain orchestra, each musician plays exactly one instrument. If

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
In a certain orchestra, each musician plays exactly one instrument. If  [#permalink]

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25 Nov 2018, 23:38
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:59) correct 37% (02:28) wrong based on 57 sessions

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In a certain orchestra, each musician plays exactly one instrument. If 1/5 of the musicians play brass instruments, and the number of musicians playing wind instruments is 2/3 greater than the number of musicians playing brass instruments, what fraction of the musicians in the orchestra play neither brass nor wind instruments?

A. 1/5
B. 2/5
C. 7/15
D. 8/15
E. 2/3

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Re: In a certain orchestra, each musician plays exactly one instrument. If  [#permalink]

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26 Nov 2018, 21:01
Bunuel wrote:
In a certain orchestra, each musician plays exactly one instrument. If 1/5 of the musicians play brass instruments, and the number of musicians playing wind instruments is 2/3 greater than the number of musicians playing brass instruments, what fraction of the musicians in the orchestra play neither brass nor wind instruments?

A. 1/5
B. 2/5
C. 7/15
D. 8/15
E. 2/3

I solved it using 2x2 matrix; take total instruments as 15..
answer would be 7/15 option c
Attachments

File comment: 2x2 matrix
Instruments.xlsx [29.85 KiB]

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Re: In a certain orchestra, each musician plays exactly one instrument. If   [#permalink] 26 Nov 2018, 21:01
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