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 $5 per pound with some Orange Pekoe tea that sells for $3 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $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? The blend should have pounds of Earl Grey and pounds of Orange Pekoe.

Explanation / Answer

Let x pound of Earl grey tea and y pound of Orange Pekoe was mixed

Here:
x+y = 200 .....eqn 1
5x+3y = 200*4.5 ...eqn 2

we need to solve eqn 1 and eqn 2

x+y = 200
x = 200-y

5x+3y = 200*4.5   
5x+3y = 900
5*(200-y) + 3y = 900
1000 - 5y + 3y = 900
2y = 100
y = 50

x = 200-y
= 200-50
=150

Answer:
The blend should have 150 pounds of Earl Grey and 50 pounds ofOrange Pekoe

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