SOLUTION: Need your help in setting this problem up. How many gallons of 20% antifreeze solution and a 10% antifreeze solution must be mixed to obtain 40 gallons of a 16% antifreeze s

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Question 301711:
Need your help in setting this problem up.
How many gallons of 20% antifreeze solution and a 10% antifreeze solution must be mixed to obtain 40 gallons of a 16% antifreeze solution?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name the variables.
A-gallons of 20% solution
B-gallons of 10% solution
Then set up an equation for the total volume of solution.
1.A%2BB=40
Then set up an equation for the concentration of the solution.
20A%2B10B=16%28A%2BB%29=16%2840%29=640
2.2A%2BB=64
Now you have 2 equations in 2 unknowns.
Solve it using substitution, elimination, etc. to get A and B.
Re=post if you get stuck.