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# What is the ratio of green marbles to red marbles in the bag?

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Intern
Joined: 22 Jan 2016
Posts: 2
What is the ratio of green marbles to red marbles in the bag?  [#permalink]

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Updated on: 03 Mar 2016, 08:41
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:55) correct 6% (01:02) wrong based on 62 sessions

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A certain bag contains red, blue, and green marbles. What is the ratio of number of green marbles to the number of red marbles in the bag?

(1) The number of blue marbles in the bag is two times the number of green marbles in the bag.
(2) The number of blue marbles in the bag is three times the number of red marbles in the bag.

Can anyone help?
Pls do correct me if I am mistaken with the difficulty.

Originally posted by tudelue on 03 Mar 2016, 08:35.
Last edited by ENGRTOMBA2018 on 03 Mar 2016, 08:41, edited 1 time in total.
Reformatted the question and added the OA.
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Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
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WE: Engineering (Aerospace and Defense)
What is the ratio of green marbles to red marbles in the bag?  [#permalink]

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03 Mar 2016, 08:44
2
1
tudelue wrote:
A certain bag contains red, blue, and green marbles. What is the ratio of number of green marbles to the number of red marbles in the bag?

(1) The number of blue marbles in the bag is two times the number of green marbles in the bag.
(2) The number of blue marbles in the bag is three times the number of red marbles in the bag.

Can anyone help?
Pls do correct me if I am mistaken with the difficulty.

Please follows posting guidelines (link in my signatures). Do add OA when you start a new question.

As for the question, let B,R,G stand for # of blue, red and green balls respectively.

You are asked for G/R =?

Per statement 1, B=2G , clearly not sufficient. Take 2 cases, R=10, G=10, B=20 ---> G/R=1 but if R=20, G=10, B=20, then G/R=0.5

Per statement 2, B=3R. Again, not sufficient.

Combining, you get, B=3R=2G --> 3R=2G --> G/R=1.5 . Unique value. Hence both statements together are sufficient.

Hope this helps.
Manager
Joined: 14 Feb 2016
Posts: 60
GMAT 1: 710 Q48 V40
Re: What is the ratio of green marbles to red marbles in the bag?  [#permalink]

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03 Mar 2016, 08:50
2
tudelue wrote:
A certain bag contains red, blue, and green marbles. What is the ratio of number of green marbles to the number of red marbles in the bag?

(1) The number of blue marbles in the bag is two times the number of green marbles in the bag.
(2) The number of blue marbles in the bag is three times the number of red marbles in the bag.

Can anyone help?
Pls do correct me if I am mistaken with the difficulty.

It is a very simple question.

To know the ratio between A and B , we have to have some information that relates A and B.

Statement 1 talks about blue and green which does nothing to help with red and green ratio.
Statement 2 does the same by providing information only on relation between blue and red.

Combining these two, we have a relation for red:blue:green For example if there are x green marbles in the bag, there will be 2x blue and 2/3x red marbles.

Hence C
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Posts: 3447
Re: What is the ratio of green marbles to red marbles in the bag?  [#permalink]

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06 Feb 2019, 06:53
Top Contributor
tudelue wrote:
A certain bag contains red, blue, and green marbles. What is the ratio of number of green marbles to the number of red marbles in the bag?

(1) The number of blue marbles in the bag is two times the number of green marbles in the bag.
(2) The number of blue marbles in the bag is three times the number of red marbles in the bag.

Given: A certain bag contains red, blue, and green marbles.
Let R = # number red marbles in the bag
Let B = # number blue marbles in the bag
Let G = # number green marbles in the bag

Target question: What is the value of G/R?

Statement 1: The number of blue marbles in the bag is two times the number of green marbles in the bag.
In other words, B/G = 2/1
Since we don't have any information about the value of R, we cannot answer the target question with certainty.
So, statement 1 is NOT SUFFICIENT

Statement 2: The number of blue marbles in the bag is three times the number of red marbles in the bag.
There are several values of x and y that satisfy statement 2. Here are two:
In other words, B/R = 3/1
Since we don't have any information about the value of G, we cannot answer the target question with certainty.
So, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that B/G = 2/1, which means G/B = 1/2
Statement 2 tells us that B/R = 3/1

From here, we can quickly find the value of G/R if we recognize that (G/B)(B/R) = G/R
Replace each expression with its equivalent value to get: (1/2)(3/1) = G/R
Simplify: 3/2 = G/R
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Cheers,
Brent
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Re: What is the ratio of green marbles to red marbles in the bag?   [#permalink] 06 Feb 2019, 06:53
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# What is the ratio of green marbles to red marbles in the bag?

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