SOLUTION: In the lab, Jessica has two solutions that contain alcohol and is mixing them with each other. She uses twice as much Solution A as Solution B. Solution A is 12% alcohol and Sol

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Question 1093354: In the lab, Jessica has two solutions that contain alcohol and is mixing them with each other. She uses twice as much Solution A as Solution B. Solution A is
12%
alcohol and Solution B is
19%
alcohol. How many milliliters of Solution B does she use, if the resulting mixture has
86
milliliters of pure alcohol?

Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=solution B ml
2x=solution A ml
.12(2x)+.19x=1.00(86), the 1.00 being 100% alcohol
.24x+.19x=86
.43x=86
x=86/.43=200 ml B at 19%=38 ml pure
2x=400 ml A @12%=48 ml pure
That sum is 86 ml

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Volumes of each of the solutions are A and B. (in milliliters)

system%28A=2B%2C0.12A%2B0.19B=86%29, the description put into equations


0.12%282B%29%2B0.19B=86
0.24B%2B0.19B=86
0.43B=86
B=86%2F0.43
B=86%2F%2843%2F100%29
B=200-------done