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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    i could have sworn i just did this problem. matter of fact i am sure of it.

  2. anonymous
    • 5 years ago
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    good then you can tell me how to solve it lol

  3. anonymous
    • 5 years ago
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    be happy to write it again in you missed it.

  4. anonymous
    • 5 years ago
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    sure. in english or equation? or both?

  5. anonymous
    • 5 years ago
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    equation so I can see how it is solved

  6. anonymous
    • 5 years ago
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    ok you want to end up with 14% of 320=44.8 pounds of protein. 16% will come from soybeans so if we call x the amount of soybeans you will get .16 x the rest will come from cornmeal and since you will have 320 pounds total if you have 0 amount of soybeans you will have 320 - x amount of cornmeal, 8 % of which is \[.08\times(320-x)\]

  7. anonymous
    • 5 years ago
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    so you get the equation \[.16x+.08(320-x)=.14\times 320=44.8\]

  8. anonymous
    • 5 years ago
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    now we solve for x: \[.16x+.08(320-x)=44.8\] \[.16x+25.6-.08x=44.8\] \[.08x+25.6=44.8\] \[.08x=44.8-25.6=19.2\] \[x=\frac{19.2}{.08}=240\]

  9. anonymous
    • 5 years ago
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    and of course that makes the amount of cornmeal 80

  10. anonymous
    • 5 years ago
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    so it would be 44.8 ponds of soybean and 19.2 pounds of cornmeal is that right?

  11. anonymous
    • 5 years ago
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    oh no

  12. anonymous
    • 5 years ago
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    solving for x gives x = 240

  13. anonymous
    • 5 years ago
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    240 pounds of soybeans and therefore 80 pounds of cornmeal

  14. anonymous
    • 5 years ago
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    oh ok

  15. anonymous
    • 5 years ago
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    clear or no?

  16. anonymous
    • 5 years ago
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    yes clearer now

  17. anonymous
    • 5 years ago
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    k

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