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

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Question 316205: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let M be the gallons of maple, C gallons of corn.
1.M%2BC=50
2.6.00M%2B0.80C=2.36%2850%29=118
Multiply eq. 1 by (-6) and add to eq. 2,
-6M-6C%2B6M%2B0.8C=-300%2B118
-5.2C=-182
highlight%28C=35%29
Then from eq. 1,
M%2B35=50
highlight%28+M=15%29
15 gallons of maple and 35 gallons of corn syrup.