Question

A coffee manufacturer wants to market a new blend of coffee that will sell for $3.90 per pound by mixing two coffees that sell for $2.75 per pound and $5 per pound, respectively. What amounts of each coffee should be blended to obtain 100 pounds of the desired mixture? Thanks so much if anyone can help me with this.

Answer 1

x = lbs of cheaper coffee
2.75x = value of cheaper
100 - x = lbs of better coffee
5(100 - x) = value of better
100 = lbs of mixture
3.90(100) = value of mixture

2.75x + 5(100 - x) = 3.90(100)
Solve for x, lbs of cheaper
100 - x = lbs of better