Problema Solution

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 per pound with some Orange Pekoe tea that sells for $ 2 per pound to get 900 pounds of the new blend. The selling price of the new blend is to be $ 2.50 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 provided by our tutors

Let

x = pound of Earl Gray tea

y = pounds of Orange Pekoe tea

Using the given information in the test we can write the following system of equations:

x + y = 900

4x + 2y = 2.50*900

........

click here to see the system of equations solved for x and y

........

x = 225 lbs

y = 675 lbs

225 pounds of Earl Gray and 657 pounds of Orange Pekoe tea are required.