SOLUTION: A laboratory technician needs to make a 27-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A laboratory technician needs to make a 27-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 739498: A laboratory technician needs to make a 27-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
VARIABLES
u = volume of 10% acid. unknown.
v = volume of 100% acid. unknown.
L = 40%
H = 100%
T = target concentration of acid, 40%
M = 27 liters

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

METHOD
Solve the system for u and v;
Substitute given values to compute u and v.