SOLUTION: The cooling system of a certain foreigh-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 dra

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Question 146154This question is from textbook New Mexico Edition College Algebra
: The cooling system of a certain foreigh-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? This question is from textbook New Mexico Edition College Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The cooling system of a certain foreigh-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?Let x = amt in liters drained and replaced by 100% antifreeze
.
Let x = amt drained (in liters) and replaced with 100% anti-freeze
.
then:
amt of 40% antifreeze = 15 - x
amt of 100% antifreeze = x
.
"60% antifreeze in tank" = "amt from 40% mix" + "amt from 100% mix"
.6(15) = "amt antifreeze from 40% mix" + "amt antifreeze from 100% mix"
.6(15) = .40(15 - x) + x
9 = 6 - .40x + x
9 = 6 + .60x
3 = .60x
5 liters = x