The manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $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 tge earl grey tea and orange pekoe tea are required

Question

Mathematics

Karlee English

20 November, 12:37

The manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $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 tge earl grey tea and orange pekoe tea are required

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Figueroa · Answer 1

Let x = pounds of earl grey tea

Let y = pounds of orange pekoe tea.

The total pounds is 400, therefore

x + y = 400 (1)

The new blend sells for $3.50 a pound, so the revenue is

400*3.50 = $1400.00

The cost of mixing the two teas matches the revenue, therefre

4x + 2y = 1400

or

2x + y = 700 (2)

Subtract (1) from (2).

2x + y - (x + y) = 700 - 400

x = 300

y = 400 - x = 100

Answer:

300 pounds of earl grey tea and

100 pounds of orange pekoe tea.