SOLUTION: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drai

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Question 1208969: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

It was solved at this forum many years ago under this link

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.146154.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.146154.html


Enjoy (!)



Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
typical drain-and-replace example.
https://www.algebra.com/my/drain-and-replace-antifreeze.lesson?content_action=show_dev

v, amount volume to remove and to be replaced
Volume of total capacity for cooling system same before as after, 15 liters

%2815%2A%280.40%29-0.4v%2B1.00v%29%2F15=0.6
Solve for v.

%280.4%29%2815%29%2B%281-0.4%29v=0.6%2815%29
0.6v=%280.6%29%2815%29-%280.4%29%2815%29
0.6v=15%280.6-0.4%29
v=15%28%280.6-0.4%29%2F0.6%29
15%281%2F3%29
v=5