Question

the manager of a store that specializes in selling tea desides to experiment with a new blend. she will mix some earl gray tea that sells for $5 per pound with some orange pekoe the that sells for $3 per pound to get 600 pounds of the new blend. the selling price is the new blend is to be $4.50 per pound. and there is to be no difference in revenue from selling the new brand versus selling the other types. how many pounds of earl gray tea and pekoe tea are required.​

Answer 1

• 450 lb Earl Gray
• 150 lb Orange Pekoe

Explanation:

You want to know the number of pounds of each of Earl Gray and Orange Pekoe tea to make 600 pounds of mix that is valued at $4.50 per pound, if Earl Gray costs $5 per pound and Orange Pekoe costs $3 per pound.

Setup

Let x represent the number of pounds of Earl Gray tea in the mix. Then the value of the mix is ...

5x +3(600 -x) = 4.50(600)

Solution

Simplifying, we have ...

2x +1800 = 2700

2x = 900 . . . . . . . . . subtract 1800

x = 450 . . . . . . . . . divide by 2

600 -x = 150 . . . find pounds of Orange Pekoe

The blend will consist of 450 pounds of Earl Gray, and 150 pounds of Orange Pekoe tea.

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