Question 252376
Both solution X and solution Y contain alcohol and water. In solution X the ratio of alcohol to water is 3:2.
(3/5)th of X is alcohol
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When equal amounts of solution X and solution Y are mixed, the ratio of alcohol to water is 3:4.
Let "k" be the equal amount of each.
Equation:
alcohol + alcohol = alcohol
(3/5)k + ?k = (3/7)(2k)
Multiply thru by 35 to get:
21k + 35?k = 30k
(21+35?)k = 30k
21+35? = 30
35? = 9
? = 9/35

What is the ratio of alcohol to water in solution Y? 
Write your answer in the form A:W.
Ans: 9:(35-9) = 9:26
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Cheers,
Stan H.