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)   (Show Source): You can put this solution on YOUR website!
Mixing two concentrations for known amount of mixture - http://www.algebra.com/tutors/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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 = , or L
Amount of 20% solution to be mixed = 100 – 62.5, or L
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