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the manager of a starbucks store plans to mix A grade coffee that cost 9.50 per pound with grade B coffee that cost 7.00 per pound to create a 20 pound blend that will sell for 8.50 a pound. how many pounds of each grade coffee are required?

  • math -

    12 pounds of A grade coffee and 8 pounds of B grade coffee.

  • math -

    amount of A coffee ---- x pounds
    amount of B coffee ---- 20-x

    9.5x + 7(20-x) = 8.5(20)
    9.5x + 140 - 7x = 170
    2.5x = 30
    x = 12

    So 12 pounds of grade A and 8 pounds of grade B

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