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# In a certain orchestra, the ratio of cello players to viola players is

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In a certain orchestra, the ratio of cello players to viola players is  [#permalink]

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22 Jan 2019, 01:16
00:00

Difficulty:

25% (medium)

Question Stats:

67% (00:44) correct 33% (01:10) wrong based on 17 sessions

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In a certain orchestra, the ratio of cello players to viola players is 4:5. If there are 2 more viola players than cello players, how many viola players are there?

A 8
B 9
C 10
D 11
E 12

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Joined: 31 Oct 2013
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Re: In a certain orchestra, the ratio of cello players to viola players is  [#permalink]

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22 Jan 2019, 02:53
Bunuel wrote:
In a certain orchestra, the ratio of cello players to viola players is 4:5. If there are 2 more viola players than cello players, how many viola players are there?

A 8
B 9
C 10
D 11
E 12

let cello players be x.

Then viola player = 2 + x.

$$\frac{x}{2+x}$$ = $$\frac{4}{5}$$
5x = 8 + 4x

x = 8.

Voila player = 8 + 2 = 10.

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Re: In a certain orchestra, the ratio of cello players to viola players is  [#permalink]

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22 Jan 2019, 04:24
Bunuel wrote:
In a certain orchestra, the ratio of cello players to viola players is 4:5. If there are 2 more viola players than cello players, how many viola players are there?

A 8
B 9
C 10
D 11
E 12

c/v= 4/5
v=c+2
c/c+c=4/5
c=8
v=10
IMO C
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Re: In a certain orchestra, the ratio of cello players to viola players is   [#permalink] 22 Jan 2019, 04:24
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