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22 January, 13:41

A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

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Answers (2)
  1. 22 January, 14:25
    0
    160 for 2.70 and 240 for 3.20

    Step-by-step explanation:

    rsm
  2. 22 January, 17:37
    0
    Step-by-step explanation:

    Let's say x is the amount of $2.70/lb coffee and y is the amount of $3.20/lb coffee.

    The total amount is:

    x + y = 400

    The total worth is:

    2.70x + 3.20y = 3.00*400

    2.7x + 3.2y = 1200

    Solving the system of equations through substitution:

    x = 400 - y

    2.7 (400 - y) + 3.2y = 1200

    1080 - 2.7y + 3.2y = 1200

    0.5y = 120

    y = 240

    x = 160

    The grocer uses 160 pounds of the $2.70/lb coffee and 240 pounds of the $3.20/lb coffee.
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