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 needed to make

Question 415232: 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 needed to make 50 gallons of the mixture?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of $6 syrup needed
Let = gallons of $.80 syrup needed
given:
(1)
(2)
----------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)

15 gallons of $6 syrup are needed
35 gallons of $.80 syrup are needed
check answer:
(2)
(2)

OK
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