SOLUTION: how many milliliters of a 17% alcohol solution must be added to 52 mL of a 8% alcohol solution to make a 13% alcohol solution? I did: .15x + .04(42)=.08(42+x) .15x + 1.68=3.36

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Question 737244: how many milliliters of a 17% alcohol solution must be added to 52 mL of a 8% alcohol solution to make a 13% alcohol solution?
I did:
.15x + .04(42)=.08(42+x)
.15x + 1.68=3.36+.08x
-.08x -.08x
.07x+1.68=3.36
-1.68 -1.68
.07x=1.68
x=24
Then I filled in x: .08(42+24)
66(.08)=5.28

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
One possible problem is you accidently using 0.15 instead of 0.17 or 0.13. I will not try to examine your work, but instead offer this equation which you should examine very carefully and be sure you understand:

.

Just solve for r.

, I may be skipping through a few steps,
ml. of 17% alcohol.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
I'll try my method and see if it agrees
Let = ml of 17% solution needed
ml of alcohol in 8% solution
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65 milliliters of a 17% alcohol solution must be added
check:

OK