Problema 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 gallons of the mixture?
Answer provided by our tutors
let
x = the gallons of maple syrup with price $6 per gallon
y = the gallons of corn syrup with price 0.80 cents = $0.008 per gallon
the cost of x gallons of maple syrup + the cost of y gallons of corn syrup = the total cost of the mixture
6*x + 0.008*y = 2.36*50
the mixture of maple syrup and corn syrup is 50 gallons
x + y = 50
by solving the system of equations
x + y = 50
6*x + 0.008*y = 2.36*50
we find
x = 19.6262 gallons
y = 30.3738 gallons
we need 19.6262 gallons maple syrup and 30.3738 gallons corn syrup.