SOLUTION: A 25% and a 40% salt solution are combined to make 10 gallons of 35% salt solution. How much of each strength solution is required?

Question 529855: A 25% and a 40% salt solution are combined to make 10 gallons of 35% salt solution. How much of each strength solution is required?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 25% solution needed
Let = gallons of 40% solution needed
given:
(1)

(2)
Multiply both sides of (1) by ,
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
3.333 gallons of 25% solution are needed
6.666 gallons of 40% solution are needed
check:

close enough
OK
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