SOLUTION: A solution of 64% fertilizer is to be mixed with a solution of 22% fertilizer to form 84 L of a 57% solution. How many liters of the 64% solution must be used?

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Question 806111: A solution of 64% fertilizer is to be mixed with a solution of 22% fertilizer to form 84 L of a 57% solution. How many liters of the 64% solution must be used?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
u = volume of 22%
v = volume of 64%

%2822u%2B64v%29%2F84=57 and u%2Bv=84

The system is of two linear equations in unknown variables u and v.
Solve for u and v.