SOLUTION: A car radiator is filled with 5 liters of 25% antifreeze solution. How many liters must be drawn off and replaced by a 75% antifreeze solution to leave the radiator filled with a 5
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Question 197373: A car radiator is filled with 5 liters of 25% antifreeze solution. How many liters must be drawn off and replaced by a 75% antifreeze solution to leave the radiator filled with a 55% anitfreeze solution?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A car radiator is filled with 5 liters of 25% antifreeze solution.
How many liters must be drawn off and replaced by a 75% antifreeze
solution to leave the radiator filled with a 55% antifreeze solution?
:
Let x = amt of original solution to be removed
and also
let x = amt of 75% solution to be added
;
.25(5 - x) + .75x = .55(5)
:
1.25 - .25x + .75x = 2.75
:
-.25x +.75x = 2.75 - 1.25
:
.5x = 1.5
:
x =
x = 3 liters to be removed and 3 liters of 75% solution to be added
:
:
Check solution in original equation:
.25(5 - 3) + .75(3) = .55(5)
.50 + 2.25 = 2.74
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