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# If the number of red marbles is three times the number of green marble

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Math Expert
Joined: 02 Sep 2009
Posts: 46068
If the number of red marbles is three times the number of green marble [#permalink]

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04 May 2017, 00:53
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Difficulty:

15% (low)

Question Stats:

88% (00:25) correct 12% (00:19) wrong based on 35 sessions

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If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of marbles, what is the ratio of the green marbles to all the marbles?

A. 1 : 3
B. 1 : 4
C. 3 : 4
D. 3 : 1
E. 4 : 1

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Re: If the number of red marbles is three times the number of green marble [#permalink]

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04 May 2017, 01:23
Bunuel wrote:
If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of marbles, what is the ratio of the green marbles to all the marbles?

A. 1 : 3
B. 1 : 4
C. 3 : 4
D. 3 : 1
E. 4 : 1

There are only 2 colours in the bowl: red and green.

For every green marble there are three red marbles so the ratio of green to red is 1:3

The question is asking for the ration of green to ALL the marbles so 1:4

Ans: B

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Re: If the number of red marbles is three times the number of green marble [#permalink]

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04 May 2017, 01:23
Bunuel wrote:
If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of marbles, what is the ratio of the green marbles to all the marbles?

A. 1 : 3
B. 1 : 4
C. 3 : 4
D. 3 : 1
E. 4 : 1

Let R=Red marbles, G=Green marbles

R=3G

$$\frac{R}{G}=\frac{3x}{1x}$$

$$\frac{G}{(G+R)} = \frac{1x}{(1x+3x)} = \frac{1}{4}=1:4$$

Answer : B
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Re: If the number of red marbles is three times the number of green marble   [#permalink] 04 May 2017, 01:23
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# If the number of red marbles is three times the number of green marble

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