SOLUTION: A mechanic nees a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antifreeze solution. How much of the antifreeze mixture shou
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Question 450189: A mechanic nees a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antifreeze solution. How much of the antifreeze mixture should be drained from the car if the mechanic replaces it with pur antifreeze? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A mechanic needs a radiator to have a 40% antifreeze solution.
The radiator currently is filled with 4 gallons of a 25% antifreeze solution.
How much of the antifreeze mixture should be drained from the car if the
mechanic replaces it with pure antifreeze?
:
Let x = amt to be drained, and amt of pure antifreeze to be added
:
.25(4-x) + x = .40(4)
1 - .25x + x = 1.6
-.25x + x = 1.6 - 1
.75x = .6
x =
x = .8 gal removed and .8 gal of pure antifreeze added
;
:
Check solution in original equation
.25(4-.8) + .8 = .4(4)
.25(3.2) + .8 = 1.6
