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22 September, 13:45

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 $ 6$6 per pound with some Orange Pekoe tea that sells for $ 2$2 per pound to get 800800 pounds of the new blend. The selling price of the new blend is to be $ 3.50$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?

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  1. 22 September, 15:42
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    Amount Reqiured are

    Earl Grey Tea=300 pounds

    Orange Pekoe tea = 500 pounds

    Step-by-step explanation:

    Let amount of Earl Grey tea to mix = y pounds

    Total Amount of Mixture = 800 pounds

    That is,

    Amount of Orange Pekoe tea + Amount of Earl Grey tea = 800

    Amount of Orange Pekoe tea + y = 800

    Amount of Orange Pekoe tea = 800-y

    Selling Price of Earl Grey tea = $6 per pound

    Selling Price of Orange Pekoe tea = $2 per pound

    Selling Price of New Blend=$3.50 per pound

    The total sales therefore gives:

    6y+2 (800-y) = 3.5*800

    6y+1600-2y=2800

    4y=2800-1600

    4y=1200

    y=300

    Therefore the amount of Earl Grey tea to mix = 300 pounds

    Amount of Orange Pekoe tea = 800-y=800-300=500 pounds
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