SOLUTION: The cooling system of a car has a capacity of 15 liters. If the system is currently fille with a mixture that is 40% antifreeze. How much of this mixture should be drained and repl

Question 488231: The cooling system of a car has a capacity of 15 liters. If the system is currently fille with a mixture that is 40% antifreeze. How much of this mixture should be drained and replaced with pure antifreeze so that the system is filled with a solution that is 50% antifreeze?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of mixture to be drained
and replaced with pure antifreeze
given:
liters of antifreeze in the system at beginning
= liters of antifreeze that will be removed by draining
= liters of antifreeze left in system after draining
= liters of antifreeze left in system after draining
and replacing with pure antifreeze
------------
In words:
(liters of antifreeze after draining & replacing)/(total liters in system after draining) = 50%

2.5 liters need to be drained and replaced with pure antifreeze
check:
liters of system is 40% antifreeze
liters antifreeze

OK
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