SOLUTION: Find the amount of a 6% acid solution and the amount of a 14% acid solution Pat Mayfield should combine to prepare 50cc (cubic centimeters) of a 12% solution.

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Question 762597: Find the amount of a 6% acid solution and the amount of a 14% acid solution Pat Mayfield should combine to prepare 50cc (cubic centimeters) of a 12% solution.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Give Variables to All Numbers:
L=6% acid solution
H=14% acid solution
T=12% acid solution
M = 50 cc of the T strength solution
u = unknown cc of L solution
v = unknown cc of H solution

Make Equations:
%28Lu%2BHv%29%2FM=T and u%2Bv=M

Solve the equations as a system for u and v, and then substitute the known values to find values of u and v.