SOLUTION: A radiator specialist needs 10 gallons of a solution of 50% antifreeze. he has a container of 90% antifreeze and he has a container 40% antifreeze How many gallons of each solu

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Question 144066: A radiator specialist needs 10 gallons
of a solution of 50% antifreeze.
he has a container of 90% antifreeze
and he has a container 40% antifreeze
How many gallons of each solution should
he use to mix together to get 10 gallons of
50% antifreeze?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="gallons of 90%", so 10-x="gallons of 40%"

(90%)(x)+(40%)(10-x)=(50%)(10) __ multiplying by 10 and distributing __ 9x+40-4x=50

subtracting 40 __ 5x=10 __ x=2