SOLUTION: Jenna needs 100 liters if a 15% alcohol solution. If she has a 12% alcohol solution and a 20% alcohol solution available, how many of each should sheix to get the desired solution

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Question 891881: Jenna needs 100 liters if a 15% alcohol solution. If she has a 12% alcohol solution and a 20% alcohol solution available, how many of each should sheix to get the desired solution?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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Jenna needs 100 liters if a 15% alcohol solution. If she has a 12% alcohol solution and a 20% alcohol solution available, how many of each should sheix to get the desired solution?


Let amount of 12% solution to be mixed be T

Then amount of 20% solution to be mixed = 100 – T

Therefore, we have: .12(T) + .2(100 – T) = .15(100)

.12T + 20 - .2T = 15

.12T - .2T = 15 – 20 

- .08T = - 5

T, or amount of 12% solution to be mixed = %28-+5%29%2F-+.08, or highlight_green%28highlight_green%2862.5%29%29 L

Amount of 20% solution to be mixed = 100 – 62.5, or highlight_green%28highlight_green%2837.5%29%29 L