SOLUTION: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are need to make 50

Question 423406: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are need to make 50 gallons of the mixture?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of maple syrup needed
Let = gallons of corn syrup needed
given:
(1)
(2)
---------------
Multiply both sides of (2) by and
subtract from (1)
(1)
(2)

and, since,

15 gallons of maple syrup are needed
35 gallons of corn syrup are needed
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