SOLUTION: Both solution X and solution Y contain alcohol and water. In solution X the ratio of alcohol to water is 3:2. When equal amounts of solution X and solution Y are mixed, the ratio

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Question 252376: Both solution X and solution Y contain alcohol and water. In solution X the ratio
of alcohol to water is 3:2. When equal amounts of solution X and solution Y are
mixed, the ratio of alcohol to water is 3:4. What is the ratio of alcohol to water in solution Y? Write your answer in the form A:W.
Found 3 solutions by scott8148, richwmiller, stanbon:
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website!
(3 + a) / (2 + w) = 3 / 4 ___ 12 + 4a = 6 + 3w ___ 6 + 4a = 3 w

a + w = 5 ___ a = 5 - w

substituting ___ 6 + 20 - 4w = 3w ___ 26 = 7w ___ 26 / 7 = w

substituting ___ a = 5 - w ___ a = 9 / 7

A:W = 9:26

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
x is 3 to2
3 alcohols to two parts water
3/5x (.60) is alcohol
combo is 3 to 4
3 parts alcohol and 7 parts water =3/10=.3 is
so .6x+nx=.3*2x
.6x+nx=.6x
nx=0
n=0
solution y is pure water 100% water
0:1

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
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.