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A box contains red, blue, yellow and orange balls in the ratio of 7:4:

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Russ19
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A box contains red, blue, yellow and orange balls in the ratio of 7:4: [#permalink] New post  20 Sep 2020, 05:32
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68% (01:21) correct 32% (01:15) wrong based on 59 sessions
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A box contains red, blue, yellow, and orange balls in the ratio of 7:4:3:2, respectively. How many blue balls are in the box?

(1) The number of red balls is 12 more than the number of yellow balls.

(2) There are twice as many blue balls as orange balls in the box.
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Re: A box contains red, blue, yellow and orange balls in the ratio of 7:4: [#permalink] New post  20 Sep 2020, 06:09
Given that the ratio of R:B:Y:O is 7:4:3:2

let x be the multiple or in other words the balls are in the ratio 7x:4x:3x:2x

Statement 1:

7x = 12 + 3x

4x=12

x= 3

Hence the number of blue balls are 4*3 = 12

Statement 1 is sufficient

Statement 2:

R:O = 2:1

Which is exactly given in the question stem 4x:2x is 2:1

Hence Statement 2 is not sufficient

Hence A

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Re: A box contains red, blue, yellow and orange balls in the ratio of 7:4: [#permalink] New post  20 Sep 2020, 06:33
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Since statement (2) doesn't provide new information, you can confidently eliminate choices BCD ;)
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IanStewart
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Re: A box contains red, blue, yellow and orange balls in the ratio of 7:4: [#permalink] New post  21 Sep 2020, 07:45
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Given a ratio and any number at all, you can find all your numbers, so Statement 1 is sufficient. Statement 2 is something we already know from the ratio given in the stem, so it's not useful at all, and the answer is A.
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Re: A box contains red, blue, yellow and orange balls in the ratio of 7:4: [#permalink]
21 Sep 2020, 07:45
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