SOLUTION: A car mechanic needs to mix together two solutions of anti-freeze. One solution is 100% pure anti-freeze and the other solution is 30% anti-freeze. The mechanic would like to have

Question 157252: A car mechanic needs to mix together two solutions of anti-freeze. One solution is 100% pure anti-freeze and the other solution is 30% anti-freeze. The mechanic would like to have 2.5 gallons of a mixture that is 44% anti-freeze. How many gallons of each solution will the car mechanic need?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x+.3(2.5-x)=.44*2.5
x+.75-.3x=1.1
.7x=1.1-.75
.75x=.35
x=.35/.7
x=.5 gallons of 100% antifreeze is needed.
2.5-.5=2 gallons of 30 % antifreeze is needed.
Proof:
.5+.3*2=1.1
.5+.6=1.1
1.1=1.1
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