How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?

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 $ 5$5 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 $ 4$4 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

Let x = the number of pounds of Earl Grey tea

Let y = the number of pounds of Orange Pekoe tea

x + y = 300        x = 300 - y

5x + 2y + 4(300) = 1200

5(300-y) + 2y = 1200

1500 - 5y + 2y = 1200

-3y = -300

y = 100 lbs of Orange Pekoe

x = 300 - 100

x = 200 lbs of Earl Grey