SOLUTION: Tank a contains 32 gallons of solution which is 25% alcohol by volume. Tank b has 50 gallons of solution which is 40% alcohol by volume. What volume should be taken from each tank

Question 399317: Tank a contains 32 gallons of solution which is 25% alcohol by volume. Tank b has 50 gallons of solution which is 40% alcohol by volume. What volume should be taken from each tank and combined in order to make up 40 gallons of solution containing 30% alcohol by volume?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons to be removed from tank a
Let = gallons to be removed from tank b
= gallons of alcohol removed from tank a
= gallons of alcohol removed from tank b
--------------------------------------------------

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

And from (2),

combine 26 2/3 gallons from tank "a"
with 13 1/3 gallons from tank "b"
check answer:

OK

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