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) About Me  (Show Source):
You can put this solution on YOUR website!
1.40X%2B70Y=50%2824%29
2.X%2BY=24
Multiply eq. by -40 and add to eq. 1,
40X%2B70Y-40X-40Y=1200-960
30Y=240
Y=8
Then from eq. 2,
X%2B8=24
X=16
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.
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16 gallons of 40% solution and 8 gallons of 70% solution.