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16 Sep 2014, 01:03
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A basket contains red, blue, and green marbles in a 2:3:5 ratio. If there are 9 more green marbles than red marbles, how many more green marbles than blue marbles are there in the basket?
A. 3
B. 5
C. 6
D. 8
E. 9
A. 3
B. 5
C. 6
D. 8
E. 9
16 Sep 2014, 01:03
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Official Solution:
A basket contains red, blue, and green marbles in a 2:3:5 ratio. If there are 9 more green marbles than red marbles, how many more green marbles than blue marbles are there in the basket?
A. 3
B. 5
C. 6
D. 8
E. 9
Given that red, blue, and green marbles are in a 2:3:5 ratio, the number of red, blue, and green marbles can be expressed as \(2x\), \(3x\), and \(5x\), respectively, for some positive integer \(x\).
Since there are 9 more green marbles than red marbles, we have \(5x - 2x = 9\), which gives \(x = 3\). Therefore, there are \(5*3 = 15\) green marbles and \(3*3 = 9\) blue marbles in the basket. The difference between them is \(15 - 9 = 6\).
Answer: C
A basket contains red, blue, and green marbles in a 2:3:5 ratio. If there are 9 more green marbles than red marbles, how many more green marbles than blue marbles are there in the basket?
A. 3
B. 5
C. 6
D. 8
E. 9
Given that red, blue, and green marbles are in a 2:3:5 ratio, the number of red, blue, and green marbles can be expressed as \(2x\), \(3x\), and \(5x\), respectively, for some positive integer \(x\).
Since there are 9 more green marbles than red marbles, we have \(5x - 2x = 9\), which gives \(x = 3\). Therefore, there are \(5*3 = 15\) green marbles and \(3*3 = 9\) blue marbles in the basket. The difference between them is \(15 - 9 = 6\).
Answer: C
21 Oct 2023, 12:25
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
