SOLUTION: Ten gallons of 30% acid solution is obtained by mixing a 20% solution with a 50% solutions.How much of each solution must be used?

Question 696133: Ten gallons of 30% acid solution is obtained by mixing a 20% solution with a 50% solutions.How much of each solution must be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 20% solution needed
Let = gallons of 50% solution needed
given:
(1)
(2)
--------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
3 and 1/3 gallons of 20% solution are needed
6 and 2/3 gallons of 50% solution are needed
check answer:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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