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 dollars per pound with some Orange Pekoe tea that sells for 3 dollars per pound to get 100 pounds of the new blend. The selling price of the new blend is to be four dollars and 50 cents per pound, and there is 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?

Let x = number of pounds required for each tea

5x + 3(100 - x) = 100(4.50)

Is this the correct set ?