SOLUTION: An automobile radiator is full of a 20% antifreeze solution. If its capacity is 12 quarts, how many quarts must be replaced by a 95% solution to give 12 quarts of a 70% solution?

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Question 272808: An automobile radiator is full of a 20% antifreeze solution. If its capacity is 12 quarts, how many quarts must be replaced by a 95% solution to give 12 quarts of a 70% solution?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An automobile radiator is full of a 20% antifreeze solution.
If its capacity is 12 quarts, how many quarts must be replaced by a 95% solution to give 12 quarts of a 70% solution?
:
Let x = amt to be replaced
:
.20(12-x) + .95x = .70(12)
2.4 - .2x + .95x = 8.4
-.2x + .95x = 8.4 - 2.4
.75x = 6
x = 6%2F.75
x = 8 qts of 20% solution removed and 8 qts of 95% solution to be added