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Jars A and B each contain a mix of red and blue pebbles. The ratio of

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Jars A and B each contain a mix of red and blue pebbles. The ratio of  [#permalink]

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New post 04 Sep 2018, 09:22
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Difficulty:

  65% (hard)

Question Stats:

52% (03:43) correct 48% (03:06) wrong based on 23 sessions

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Jars A and B each contain a mix of red and blue pebbles. The ratio of red and blue pebbles in jar A is 1:4 and the ratio of the same in jar B is 3:2. When the contents of the two jars are mixed, the ratio of red and blue pebbles turns out to be 1:2. If jar A has 120 red pebbles, what is the total number of blue pebbles in the two jars combined?

A- 200

B- 300

C- 450

D- 600

E- 900

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Re: Jars A and B each contain a mix of red and blue pebbles. The ratio of  [#permalink]

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New post 04 Sep 2018, 12:47
rohan2345 wrote:
Jars A and B each contain a mix of red and blue pebbles. The ratio of red and blue pebbles in jar A is 1:4 and the ratio of the same in jar B is 3:2. When the contents of the two jars are mixed, the ratio of red and blue pebbles turns out to be 1:2. If jar A has 120 red pebbles, what is the total number of blue pebbles in the two jars combined?

A- 200

B- 300

C- 450

D- 600

E- 900


as given , Jar A has 120 red pebbles
therefore , blue pebbles = 4*120=480
substituting the values from answer choice

if total number of blue pebbles = 600
blue pebbles in jar b = 120
red pebbles in jar b = 180

the final ratio of red : blue = 300:600 = 1:2 as given in the question
therefore total number of blue pebbles = 600
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Re: Jars A and B each contain a mix of red and blue pebbles. The ratio of  [#permalink]

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New post 04 Sep 2018, 13:06
JAR A
-> 120/B = 1/4 -> B = 480

JAR B
-> 3x/2x

JAR A + B
-> (120 + 3x) / (480 + 2x) = 1/2 -> x = 60

Total B
-> 480 + 2* 60
-> 600

Answer: D
Re: Jars A and B each contain a mix of red and blue pebbles. The ratio of &nbs [#permalink] 04 Sep 2018, 13:06
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