SOLUTION: How many liters of a 75% acid solution must be added to 16 liters of a 15%acid solution to produce a 27%acid solution?

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Question 755168: How many liters of a 75% acid solution must be added to 16 liters of a 15%acid solution to produce a 27%acid solution?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES
L=15%
H=75%
T=27%
M=16 liters
u=unknown volume of 15%
v=unknown volume of 75%

FIND EQUATIONS
u%2Bv=M and %28Lu%2BHv%29%2FM=T

Solve the system of the two equations symbolically for u and v. Substitute the known values to find the values of u and v.