Problema Solution
A coffee merchant combines coffee that costs $5 per pound with coffee that costs $4.50 per pound. How many pounds of each should be used to make 25 lb of a blend costing $4.83 per pound?
Answer provided by our tutors
let
x = lbs of the $5 per lb coffee
y = lbs of the $4.50 per lb coffee
we need to make 25 lb of a blend costing $4.83 per pound
x + y = 25
5*x + 4.50*y = 4.83*25
by solving the system of equations
x + y = 25
5*x + 4.50*y = 4.83*25
we find
x = 16.5 lbs
y = 8.5 lbs
click here to see the step by step solution of the system of equations
the merchant needs to combine 16.5 lbs of the 5$ per lb coffee and 8.5 lbs of the $4.50 per lb coffee.