SOLUTION: Marisol needs 5 liters of a 40% alcohol solution. The lab has two containers, one with 30% alcohol solution and the other with 80% alcohol solution. Write a system of linear equati

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Question 992393: Marisol needs 5 liters of a 40% alcohol solution. The lab has two containers, one with 30% alcohol solution and the other with 80% alcohol solution. Write a system of linear equations to determine how many liters of each type of alcohol you need to combine to get 5 liters at 40%
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
The method in general is thoroughly taught here:
http://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Marisol needs 5 liters of a 40% alcohol solution. The lab has two containers, one with 30% alcohol solution and the other with 80% alcohol solution. Write a system of linear equations to determine how many liters of each type of alcohol you need to combine to get 5 liters at 40%
Let amounts of 30% and 80% solutions be T and E, respectively

Then we get:  

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