algebra

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The coffee counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?

Answer: Kenyan-8 lb; Sumatran-12 lb.

Can someone help me with how they arrived at this answer? Thank you

  • algebra -

    9x + 8(20-x) = 8.4(20)
    9x + 160 - 8x = 168
    x = 8

    20-x = 20-8 = 12

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