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 600 pounds of the new blend. the selling price of the new blend is $4.50 per pound and there was something 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?
Accepted Solution
A:
Answer:Earl Grey: 150 poundsOrange Pekoe: 450 poundsStep-by-step explanation:Let "e" represent the number of pounds of Earl Grey tea required for the mix. Then (600-e) is the number of pounds of Orange Pekoe tea required. The total cost of the mix is ... 6·e + 4·(600 -e) = 4.50·600 2e = 600·(4.50 -4.00) . . . . . simplify, subtract 4·600 e = 300/2 = 150 . . . . . . . . . . divide by the coefficient of xRequired are 150 pounds of Earl Grey and 450 pounds of Orange Pekoe.