Blake W. answered • 02/04/16

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Pharmacy Resident for Math and Science Tutoring

First, recognize that this question is asking you to solve a system of linear equations. From the information given, you can set up two equations to solve for your two unknown values. Let m represent gallons of maple syrup and c represent gallons of corn syrup. We are told that m and c must add up to 50, so

(1) m + c = 50

In addition, we know the cost per gallon of each component so we can set up an equation that represents price.

(2) 6.00m + 0.80c = 2.36*50

Solving this system of equations, we get

m = 15 gallons

c = 35 gallons