Question

The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6  per pound with some Orange Pekoe tea that sells for $ 4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $ 4.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?

Answer 1

75 lbs of Earl Grey 225 lbs of Orange Pekoe Some definitions. E = number of pounds of Earl Grey (300-E) = number of pounds of Orange Pekoe Expression for selling price of new blend P=300*4.5 "there is to be no difference in revenue from selling the new blend versus selling the other types." so P = 6E + 4(300-E) Set them equal to each other, then solve for E 300*4.5 = 6E + 4(300-E) 1350 = 6E + 1200 - 4E 150 = 6E - 4E 150 = 2E 75 = E So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe