SOLUTION: In testing gasohol mixtures, two mixtures are on hand: Mixture A (90% gasoline, 10% alcohol) and mixture B (80% gasoline, 20% alcohol). How much of each mixture must be combined to

Question 475262: In testing gasohol mixtures, two mixtures are on hand: Mixture A (90% gasoline, 10% alcohol) and mixture B (80% gasoline, 20% alcohol). How much of each mixture must be combined to get 100 gallons of an 84% gasoline, 16% alcohol mixture.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of mixture A needed
Let = gallons of mixture B needed
In words:
(gallons of gasoline in final mixture) / (gallons of final mixture) = 84%
given:
(1)
(2)
-----------------
From (2),
(2)
(2)
Multiply both sides of (1) by and subtract from (2)
(2)
(1)

and
(1)
(1)
(1)
40 gallons of mixture A must be added to 60 gallons of mixture B
check answer:
(2)
(2)
(2)
(2)
OK
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