Problema Solution
The Coffee counter charges $10 per pound for Kenyan French roast coffee and $12 per pound for Sumatran coffee. How much of each type should be used to make a 16 pound blend that sells for $11 per pound.
Answer provided by our tutors
We will use the formula Cost = Amount*Price.
Let
x = the amount of Kenyan French roast coffee
y = the amount of Sumatran coffee
x + y = 16 (the weight of the total blend that is combination of Kenyan French roast and Sumatran coffee)
10*x + 12*y = 11*16 (Cost of Kenyan + Cost of Sumatran = Cost of Mix)
The solution of the system of equations
x + y = 16
10*x + 12*y = 11*16
gives the answer
x = 8 pounds
y = 8 pounds
8 pounds of Kenyan French roast coffee and 8 pounds of Sumatran coffee are used to make a a 16 pound blend that sells for $11 per pound.