kiran120680 wrote:
Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?
A. 32.5%
B. 40%
C. 60%
D. 65%
E. Cannot be determined
The ratio for solution A is alcohol : water = 21x : 4x. Therefore, the volume of solution A is 25x.
The ratio for solution B is alcohol : water = 2y : 3y. Therefore, the volume of solution B is 5y.
When the two solutions are mixed in a ratio of 5 to 6 by volume, we can let x = 1 and y = 6 (notice that the volume of solution A is 25 and that of solution B is 30 and 25:30 = 5:6).
We see that the volume of the mixture is 25 + 30 = 55, of which 21(1) + 2(6) = 33 is alcohol. Therefore, alcohol is 33/55 = 3/5 = 60% of the mixture.
Answer: C
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