Ratios

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Mon Nov 02, 2009 7:19 pm

Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?

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OA 6

Last edited by heshamelaziry on Mon Nov 02, 2009 8:18 pm, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Mon Nov 02, 2009 7:19 pm

xcusemeplz2009: Master | Next Rank: 500 Posts; Posts: 399; Joined: Wed Apr 15, 2009 3:48 am; Location: india; Thanked: 39 times

Re: Ratios

by xcusemeplz2009 » Mon Nov 02, 2009 8:02 pm

heshamelaziry wrote:Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?

OA 6

bag A
ratio of R:W:B=2:6:3
Bag B ratio of R:W=1:4

total white is 6x+4y=30
only two case is possible x=1 and y=4 or x=3 and y=3

in case 1 no. of red ball is 2 in bag A
in case 2 no. of red ball is 6 in bag A

i hope 2 is not given as a choice.

It does not matter how many times you get knocked down , but how many times you get up

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mehravikas: Legendary Member; Posts: 1161; Joined: Mon May 12, 2008 2:52 amFollowed by: 1 member; Location: Sydney; Thanked: 23 times

Re: Ratios

by mehravikas » Mon Nov 02, 2009 8:11 pm

Can you post all the 5 answer choices with your question please?

heshamelaziry wrote:Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?

OA 6

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ayushr: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Thu Jun 12, 2008 12:28 am; Thanked: 3 times

by ayushr » Mon Nov 02, 2009 8:40 pm

Box A
R: W is 1: 3 OR 2:6
W: B is 2:3 OR 6:9

R: W: B is 2:6:9 OR 6:18:27

Box B
R: W is 1:4 OR 3:12

Total number of white marbles in A and B is 30.
Means, the number of red marbles in A should be 6

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ssuarezo: Master | Next Rank: 500 Posts; Posts: 126; Joined: Wed Jun 24, 2009 1:12 pm; Location: Montreal; Thanked: 2 times; GMAT Score:510

by ssuarezo » Mon Nov 02, 2009 10:20 pm

ayushr wrote:Box A
R: W is 1: 3 OR 2:6
W: B is 2:3 OR 6:9

R: W: B is 2:6:9 OR 6:18:27

Box B
R: W is 1:4 OR 3:12

Total number of white marbles in A and B is 30.
Means, the number of red marbles in A should be 6

Ayush:
It's a very clear explanation and easy solution.
Thank u.

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