SOLUTION: Diana has two different solutions of acid 10% and 40%. How much of the 40% and 10% solutions should she mix to make 15 liters of 25% solution?

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Question 811261: Diana has two different solutions of acid 10% and 40%. How much of the 40% and 10% solutions should she mix to make 15 liters of 25% solution?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Hundreds of these examples are all the same general problem.

H = percent concentration of the higher strength material
T = target percent concentration
L = percent concentration of the lower strength material
M = size of resulting mixture
u = amount of the L strength material to use
v = amount of the H strength material to use

Your given description makes these assignments:
H = 40 %
T = 25%
L = 10 %
M = 15 liters
u and v are unknown, liters.

System of equations is:
%28Lu%2BHv%29%2FM=T and u%2Bv=15
Solve for u and v, both which are linear, so you will have two linear equations in u and v.