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If there are only red, blue, and green marbles in a jar, what is the

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Bunuel
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If there are only red, blue, and green marbles in a jar, what is the [#permalink] New post   11 Aug 2016, 06:58
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If there are only red, blue, and green marbles in a jar, what is the ratio of red to blue marbles?

(1) The ratio of red to green marbles is 2:3.
(2) The ratio of green to blue marbles is 6:5.
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C
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BrentGMATPrepNow
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If there are only red, blue, and green marbles in a jar, what is the [#permalink] New post   Updated on: 28 Sep 2020, 16:12
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Bunuel wrote:
If there are only red, blue, and green marbles in a jar, what is the ratio of red to blue marbles?

(1) The ratio of red to green marbles is 2:3.
(2) The ratio of green to blue marbles is 6:5.


Let R = # of red marbles
Let B = # of blue marbles
Let G = # of green marbles

Target question: What is the ratio of R : B?

Statement 1: R : G = 2 : 3
No information about the number of BLUE marbles.
Statement 1 is NOT SUFFICIENT

Statement 2: G : B = 6 : 5
No information about the number of RED marbles.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1: R : G = 2 : 3
Statement 2: G : B = 6 : 5
Since both ratios have G in common, we can COMBINE them once we rewrite the ratios so that the value of G is the same in both ratios.

Take 2 : 3 and multiply both values by 2 to get: 4 : 6
We can now COMBINE the two ratios to get: 4 : 6 : 5
From this we can conclude that R : B = 4 : 5
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Originally posted by BrentGMATPrepNow on 11 Aug 2016, 07:55.
Last edited by BrentGMATPrepNow on 28 Sep 2020, 16:12, edited 1 time in total.
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If there are only red, blue, and green marbles in a jar, what is the [#permalink] New post   11 Aug 2016, 13:58
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Bunuel wrote:
If there are only red, blue, and green marbles in a jar, what is the ratio of red to blue marbles?

(1) The ratio of red to green marbles is 2:3.
(2) The ratio of green to blue marbles is 6:5.


(1) red:green=2:3 ,Ratio with blue needed ,Not Sufficient

(2) green:blue=6:5, Ratio with red needed,Not Sufficient

(1) + (2) red:green=2:3=4:6 and green:blue=6:5,So red: blue=4:5,Sufficient

Correct Answer C
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If there are only red, blue, and green marbles in a jar, what is the [#permalink]
11 Aug 2016, 13:58
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Bunuel
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