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 $ 4$4 per pound with some Orange Pekoe tea that sells for $ 2$2 per pound to get 300300 pounds of the new blend. The selling price of the new blend is to be $ 3.50$3.50 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?

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Business

Mariah Vance

20 June, 21:16

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 $ 4$4 per pound with some Orange Pekoe tea that sells for $ 2$2 per pound to get 300300 pounds of the new blend. The selling price of the new blend is to be $ 3.50$3.50 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?

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Answers (1)

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Cody Oliver · Answer 1

Amount of Grey tea = 275 pounds

Amount of Orange Pekoe tea = 25 pounds

Explanation:

let G = amount of Grey tea

let 300 - G = amount of Orange Pekoe tea

4G + 2 (300 - G) = 3.5 x 300

4G + 600 - 2G = 1,050

2G = 1,050 - 600 = 550

G = 550 / 2 = 275

300 - G = 300 - 275 = 25