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Soybean meal is 18% protein; cornmeal is 9% protein. How many pound of each should mixed together in order to get 360-lb mixture that is 13% protein

  • math - ,

    Start with:
    18-13=5 lbs of cornmeal
    13-9=4 lbs of soybeanmeal.
    Total = 9 lbs.
    Percentage of protein = (5*0.18+4*0.09)/(5+4)
    = 13%
    So for 360 lbs,
    weight of cornmean=(360/9)*5=200 lbs
    weight of soybeanmeal = (360/9)*4=160 lbs.

    By algebra:
    Let x=weight of cornmeal
    (360-x)=weight of soyabeanmeal
    (x*0.09+(360-x))/360 = 0.13
    Solve for x (=200 lbs of cornmeal)
    and 160 lbs of soyabeanmeal.

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