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$6 per pound with some Orange Pekoe tea that sells for $ 4$4 per pound to get 400400 pounds of the new blend. The selling price of the new blend is to be $ 4.50$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

Answer:

Amount of Grey tea = 100 pounds

Amount of Orange Pekoe tea = 300 pounds

Explanation:

let G = amount of Grey tea

let 400 - G = amount of Orange Pekoe tea

6G + 4 (400 - G) = 4.5 x 400

6G + 1,600 - 4G = 1,800

2G = 1,800 - 1,600 = 200

G = 200 / 2 = 100

400 - G = 400 - 100 = 300