Problema Solution
A coffee merchant combines coffee that costs $6 per pound with coffee that costs $3.90 per pound. How many pounds of each should be used to make 21 lb of a blend costing $5.45 per pound?
$6 per lb coffee lb
$3.90 per lb coffee lb
Answer provided by our tutors
let
x = lbs of the coffee that costs $6 per pound
y = lbs of the coffee that costs $3.90 per pound
we need to make 21 lb of a blend costing $5.45 per pound:
x + y = 21
6x + 3.90y = 5.45*21
by solving the above system of equations we find:
x = 15.5 lbs
y = 5.5 lbs
click here to see the step by step solution of the system of equations:
we need 15.5 pounds of the $6 per pound coffee and 5.5 pounds of the $3.90 per pound coffee.