SOLUTION: The capacity of an automobile cooling system is 16 quarts. If it is full of a 15% antifreeze solution,how many quarts must be replaced by a 90% solution to give 16 quarts of a 65%
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Question 294478: The capacity of an automobile cooling system is 16 quarts. If it is full of a 15% antifreeze solution,how many quarts must be replaced by a 90% solution to give 16 quarts of a 65% solution Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The capacity of an automobile cooling system is 16 quarts. If it is full of a 15% antifreeze solution,how many quarts must be replaced by a 90% solution to give 16 quarts of a 65% solution.
:
Let x = amt of 15% solution to be removed
and
Let x = amt of 90% solution to be added
:
.15(16-x) + .90x = .65(16)
:
2.4 - .15x + .90x = 10.4
:
-.15x + .90x = 10.4 - 2.4
:
.75x = 8
x =
x = 10 qts removed and added
:
:
Check:
.15(16-10.67) + .90(10.67) = .65(16)
.15(5.33) + 9.603 = 10.4
.78 + 9.6 = 10.38 ~ 10.4
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