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A certain bag contains red, blue, and green marbles. What is the ratio

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A certain bag contains red, blue, and green marbles. What is the ratio  [#permalink]

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New post Updated on: 11 Jun 2019, 03:08
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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, 09:35.
Last edited by Bunuel on 11 Jun 2019, 03:08, edited 2 times in total.
Renamed the topic.
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Re: A certain bag contains red, blue, and green marbles. What is the ratio  [#permalink]

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New post 03 Mar 2016, 09:44
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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.
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Re: A certain bag contains red, blue, and green marbles. What is the ratio  [#permalink]

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New post 03 Mar 2016, 09:50
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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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Re: A certain bag contains red, blue, and green marbles. What is the ratio  [#permalink]

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New post 06 Feb 2019, 07:53
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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

Answer: C

Cheers,
Brent
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Re: A certain bag contains red, blue, and green marbles. What is the ratio   [#permalink] 06 Feb 2019, 07:53
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