SOLUTION: soybean meal is 18% protein, cornmeal is 9% protein. how many pounds of each should be mixed together in order to get 360lb mixture that is 17% protein?

Algebra ->  Linear-equations -> SOLUTION: soybean meal is 18% protein, cornmeal is 9% protein. how many pounds of each should be mixed together in order to get 360lb mixture that is 17% protein?      Log On


   

Question 323013: soybean meal is 18% protein, cornmeal is 9% protein. how many pounds of each should be mixed together in order to get 360lb mixture that is 17% protein?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let S be the amount of soybeans, C cornmeal.
1.S%2BC=360
2.18S%2B9C=17%28360%29
From eq. 1,
S=360-C
Substitute into eq. 2,
18%28360-C%29%2B9C=17%28360%29
18%28360%29-18C%2B9C=17%28360%29
-9C=17%28360%29-18%28360%29
-9C=-360
C=40
Then from eq. 1,
S%2B40=360
S=320
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320 lbs of soybean, 40 lbs of cornmeal.