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A coffee manufacturer wants to market a new blend of coffee that will sell for $3.90 per pound by mixing two coffees that sell for $2.75 per pound and $5 per pound, respectively. What amounts of each coffee should be blended to obtain 100 pounds of the desired mixture? Thanks so much if anyone can help me with this.

  • Algebra -

    x = lbs of cheaper coffee
    2.75x = value of cheaper
    100 - x = lbs of better coffee
    5(100 - x) = value of better
    100 = lbs of mixture
    3.90(100) = value of mixture

    2.75x + 5(100 - x) = 3.90(100)
    Solve for x, lbs of cheaper
    100 - x = lbs of better

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