Ask Question
21 August, 12:57

Soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280-lb mixture that is 9 percent protein

+5
Answers (1)
  1. 21 August, 15:50
    0
    Let the weight of soymeal be s, and let the weight of cornmeal be c.

    You need a total of 280 lb, so that gives us one equation.

    s + c = 280

    Now we use the protein to write another equation.

    The protein in s lb of soymeal is 0.14s.

    The protein in c lb of cornmeal is 0.07c.

    The protein in 280 lb of 0.09% protein mix is 0.09 (280).

    This gives us a second equation.

    0.14s + 0.07c = 0.09 (280)

    Now we solve the two equations as a system of equations.

    s + c = 280

    0.14s + 0.07c = 0.09 (280)

    Solve the first equation for s and plug in tot eh second equation.

    s = 280 - c

    0.14 (280 - c) + 0.07c = 25.2

    39.2 - 0.14c + 0.07c = 25.2

    -0.07c = - 14

    c = 200

    Now we substitute c = 200 in the first equation to find s.

    s + 200 = 280

    s = 80

    Answer: 200 lb of soymeal and 80 lb of cornmeal
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280-lb mixture ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers