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23 December, 11:04

The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $12.00 per pound for Sumatran coffee. How much of each type should be used to make a 22 pound blend that sells for $10.00 per pound

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  1. 23 December, 11:14
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    11 lb. of Kenyan French roast and 11 lb. of Sumatran coffee

    Explanation:

    let K = Kenyan French roast coffee

    let S = Sumatran coffee

    K + S = 22

    8K + 12S = 22 x 10 = 220

    K = 22 - S (now we replace K)

    8 (22 - S) + 12S = 220

    176 - 8S + 12S = 220

    4S = 220 - 176 = 44

    S = 44 / 4 = 11

    K = 22 - 11 = 11
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