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16 Sep 2014, 00:38
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In what ratio should a 30% solution be mixed with a 3% solution to achieve a 12% solution?
A. 1:3
B. 1:2
C. 2:3
D. 3:4
E. 4:5
A. 1:3
B. 1:2
C. 2:3
D. 3:4
E. 4:5
16 Sep 2014, 00:38
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Official Solution:
In what ratio should a 30% solution be mixed with a 3% solution to achieve a 12% solution?
A. 1:3
B. 1:2
C. 2:3
D. 3:4
E. 4:5
Let \(x\) denote the volume of the 30%-solution and \(y\) the volume of the 3%-solution.
Using the mixture equation, we get: \(\frac{0.3x + 0.03y}{x + y} = 0.12\), which simplifies to \(30x + 3y = 12x + 12y\). From this, we derive \(18x = 9y\), leading to the ratio \(x:y = 1:2\).
Answer: B
In what ratio should a 30% solution be mixed with a 3% solution to achieve a 12% solution?
A. 1:3
B. 1:2
C. 2:3
D. 3:4
E. 4:5
Let \(x\) denote the volume of the 30%-solution and \(y\) the volume of the 3%-solution.
Using the mixture equation, we get: \(\frac{0.3x + 0.03y}{x + y} = 0.12\), which simplifies to \(30x + 3y = 12x + 12y\). From this, we derive \(18x = 9y\), leading to the ratio \(x:y = 1:2\).
Answer: B
08 Jul 2017, 09:20
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This can also be solved pretty quickly using Alligation. Let 30% Solution be A. And 3% Solution be B. Asked is A/B
From the snap shot we get \(B : A = 18 : 9 = 2 : 1 => A: B = 2:1\)
From the snap shot we get \(B : A = 18 : 9 = 2 : 1 => A: B = 2:1\)
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