Problema Solution
A coffee manufactuurer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5.00 per pound,respectively. What amounts of each coffee should be blended to obtain the desired mixture? (hint: Assume that the total weight of the desired blend is 100 pounds)
Answer provided by our tutors
let there be x lbs of brand A @ $2.75/lb
then there will be (100-x) lbs of brand B @ $5.00/lb, and
2.75x + 5(100-x) = 3.90*100
x(2.75 - 5) = 100(3.9 - 5)
2.25x = 110
x = 440/9 lbs or 48 8/9 lbs
A: 48 8/9 lbs @ $2.75/lb
B: 51 1/9 lbs @ $5/lb