Problema Solution
A coffee distributor needs to mix a(n) Arabian Mocha coffee blend that normally sells for $8.40 per pound with a Ethiopian coffee blend that normally sells for $14.60 per pound to create 60 pounds of a coffee that can sell for $10.78 per pound. How many pounds of each kind of coffee should they mix?
Answer provided by our tutors
Let
x = pounds of the Arabian Mocha coffee blend
y = pounds of the Ethiopian coffee blend
The new mix is 60 pounds:
x + y = 60
And sells for $10.78 per pound:
8.40x + 14.60y = 10.78*60
We have the following system of equations:
x + y = 60
8.40x + 14.60y = 10.78*60
........
click here to see the system of equations solved for x and y
........
x = 37 lbs
y = 23 lbs
The should mix 37 pounds of Arabian Mocha and 23 pounds of Ethiopian coffee blend.