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 $ 2$2 per pound to get 800800 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?

Amount Reqiured are

Earl Grey Tea=300 pounds

Orange Pekoe tea = 500 pounds

Step-by-step explanation:

Let amount of Earl Grey tea to mix = y pounds

Total Amount of Mixture = 800 pounds

That is,

Amount of Orange Pekoe tea + Amount of Earl Grey tea = 800

Amount of Orange Pekoe tea + y = 800

Amount of Orange Pekoe tea = 800-y

Selling Price of Earl Grey tea = $6 per pound

Selling Price of Orange Pekoe tea = $2 per pound

Selling Price of New Blend=$3.50 per pound

The total sales therefore gives:

6y+2 (800-y) = 3.5*800

6y+1600-2y=2800

4y=2800-1600

4y=1200

y=300

Therefore the amount of Earl Grey tea to mix = 300 pounds

Amount of Orange Pekoe tea = 800-y=800-300=500 pounds