SOLUTION: how many gallons of a 40% antifreeze solution and a 70% antifreeze solution must be mixed to get 24 gallons of a 50% antifreeze solution?

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Question 314801: how many gallons of a 40% antifreeze solution and a 70% antifreeze solution must be mixed to get 24 gallons of a 50% antifreeze solution?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
Multiply eq. by -40 and add to eq. 1,



Then from eq. 2,


.
.
.
16 gallons of 40% solution and 8 gallons of 70% solution.

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