SOLUTION: a 60% acid solution is to be mixed with a 80% acid solution to produce 20 liters of a 65% acid solution. how many liters of each solution is needed

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Question 300712: a 60% acid solution is to be mixed with a 80% acid solution to produce 20 liters of a 65% acid solution. how many liters of each solution is needed
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A - Liters of 60% solution
B - Liters of 80% solution
Total volume equation:
1.A%2BB=20
.
.
Total concentration equation:
60A%2B80B=65%2820%29
60A%2B80B=1300
2.3A%2B4B=65
From eq. 1,
A=20-B
Substitute into eq. 2,
3%2820-B%29%2B4B=65
60-3B%2B4B=65
B=5
Then from eq. 1,
A=20-B
A=20-5
A=15
Use 15 liters of 60% solution and 5 liters of 80% solution