The manager of a store that specializes in selling tea decides to experiment wit

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 $4 per pound with some Orange Pekoe tea that sells for $2 per pound to get 400 pounds of new blend. The selling price of the new blend is to be $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?

The blend should have___________
Pound of Earl Grey and __________ pounds of Orange Pekoe.

Explanation / Answer

Let x pounds of Earl Grey tea and y pounds of Orange Pekoe tea

x+y = 400 ---(1)

4x + 2y = 3.5(x+y)

0.5x - 1.5y =0 ---(2)

solve the equations above

we get x= 300 pounds and y = 100 pounds

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