SOLUTION: A chemist wishes to mix a 15% acid solution with a 55% acid solution to obtain 80 quarts of a 50% acid solution. How many quarts of each solution should be mixed together?

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Question 788193: A chemist wishes to mix a 15% acid solution with a 55% acid solution to obtain 80 quarts of a 50% acid solution. How many quarts of each solution should be mixed together?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
L=15%
T=50%
H=55%
M=80 quarts
u=amount of L material in quarts
v=amount of H material in quarts

Solve this system for u and v:
%28Lu%2BHv%29%2FM=T and u%2Bv=M

Use the given values to find the values of u and v.