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 288280: 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?
{maple syrup: gallons, corn syrup: gallons}
Answer by mananth(16946) About Me  (Show Source):
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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?
{maple syrup: gallons, corn syrup: gallons}

let quantity of maple syrup used be x gallons
corn syrup used will be 50-x gallons
6*x+0,8(50-x)= 2.36*50
6x+40-0.8x=118.00
5.2x=118-40
5,2x=74
x=74/5.2
x=14.2 gallons
35.8 gallons will be corn syrup.