SOLUTION: Set up a system of equations solve: How many liters of a 10% acid solution and a 20% acid solution must be added together to get 45 liters of an 18% acid solution?

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Question 185192: Set up a system of equations solve: How many liters of a 10% acid solution and a 20% acid solution must be added together to get 45 liters of an 18% acid solution?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.20x+.10(45-x)=45*.18
.20x+4.5-.10x=8.1
.10x=8.1-4.5
.10x=3.6
x=3.6/.1
x=36 liters of 20% acid is used.
45-36=9 liters of 19% acid is used.
Proof:
.20*36+.1*9=45*.18
7.2+.9=8.1
8.1=8.1