SOLUTION: Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?

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Question 313035: Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?
Let S be the amount of soybeans, C the amount of cornmeal.
1.S%2BC=240
2.12S%2B6C=8%28240%29
Multiply eq. 1 by (-6) and add the equations together.
-6S-6C%2B12S%2B6C=-6%28240%29%2B8%28240%29
6S=2%28240%29
S=240%2F3=80
Then from eq. 1,
S%2BC=240
80%2BC=240
C=160
80 lbs of soybeans, 160 lbs of cornmeal