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 600600 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

Let us say that:

x = mass from Earl Grey Tea

y = mass from Orange Pekoe Tea

 

So that:

x + y = 600

and that:

6 x + 4 y = 4.5 * 600

6 (600 – y) + 4 y = 2700

3600 – 6y + 4y = 2700

-2y = -900

y = 450 pounds

x = 600 – 450 = 150 pounds

 

Answer:

 Earl Grey Tea = 150 pounds

Orange Pekoe Tea = 450 pounds