SOLUTION: A mechanic needs a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antrifreeze solution. How much of the antifreeze mixture s

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Question 422580: A mechanic needs a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antrifreeze solution. How much of the antifreeze mixture should be drained from the car if the mechanic replaces it with pure antifreeze?
Answer by lwsshak3(11628) About Me  (Show Source):
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A mechanic needs a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antrifreeze solution. How much of the antifreeze mixture should be drained from the car if the mechanic replaces it with pure antifreeze?
..
let x=gallons of current mixture to be drained and replaced with pure antifreeze.
4-x=gallons of current mixture remaining in the car.
.25(4-x)+1.00x=.40*4
1-.25x+x=1.6
.75x=.6
x=.6/.75=0.8 gal
ans:
0.8 gallons of current mixture to be drained and replaced with pure antifreeze.