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Soybean meal is 16% protein: cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb. mixture that is 14% protein?

  • algebra -

    Check the previous answers.

    http://www.jiskha.com/search/index.cgi?query=Soybean+Meal+Is+16%25+Protein

  • algebra -

    Let x = amount of soybean meal used
    y = amount of cormeal used

    x + y = 320

    .16x + .08y = .15(x + y) = .15(320) = 48

    .16x + .08y = 48

    That's two equation and two unknowns:
    x + y = 320
    .16x + .08y = 48

    Multiply the first equation by .08:
    .08x + .08y = 25.6
    .16x + .08y = 48

    Subtract the first equation from the second equation:
    .16x - .08x + .08y - .08y = 48 = 25.6

    .08x = 22.4

    Divide by .08:
    x = 280

    x + y = 320

    280 + y = 320

    y = 40

    Use 280 lbs of soybean meal and 40 lbs of cornmeal.

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