Problema Solution
A coffee merchant has 2 types of coffee beans, 1 selling for $9 per lb and 1 selling for $15 per lb. The beans are to be mixed to provide 100lbs of a mixture selling for $13.50 per lb. How much of each type of beans should be used to form 100 lbs of the mixture?
Create system of equations and solve
Answer provided by our tutors
Let
x = lb of the first type of coffee beans selling for $9 per lb
y = lb of the second type of coffee beans selling for $15 per lb
x + y = 100
9x + 15y = 13.50*100
........
click here to see the system of equations solved for x and y
........
x = 25 lb
y = 75 lb
25 lb of the first type of coffee beans and 75 lb of the second type of coffee beans should be used to the mixture.