SOLUTION: A pharmacist has a 40% acid solution and a 25% acid solution. How many liters of each must be mixed to form 109 liters of a 26% acid solution

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Question 906124: A pharmacist has a 40% acid solution and a 25% acid solution. How many liters of each must be mixed to form 109 liters of a 26% acid solution
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=109,
0.4*a+0.25*b=0.26*109
a=109-b
0.4*(109-b)+0.25*b=28.34
43.6-0.4b+0.25*b=28.34
-0.15*b=-15.26
b=101.733333
a=109-b
a=7.26666667 liter at 40%
b=101.733333 liter at 25%
check
0.4*7.26666667+0.25*101.733333=0.26*109
2.90666667+25.4333333=28.34
28.34=28.34
ok