SOLUTION: Soybean meal is 16% protein and cornmeal is 9% protein. How many pounds of each should be mixed to get a 350lb mixture that is 12% protein?

Algebra ->  Equations -> SOLUTION: Soybean meal is 16% protein and cornmeal is 9% protein. How many pounds of each should be mixed to get a 350lb mixture that is 12% protein?       Log On


   

Question 314918: Soybean meal is 16% protein and cornmeal is 9% protein. How many pounds of each should be mixed to get a 350lb mixture that is 12% protein?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let S be lbs of soybean and C be lbs of cornmeal.
1.S%2BC=350
16S%2B9C=12%28S%2BC%29=12%28350%29%0D%0A2.%7B%7B%7B16S%2B9C=4200
Multiply eq. 1 by (-9) and add to eq. 2,
-9S-9C%2B16S%2B9C=-3150%2B4200
7S=1050
highlight%28+S=150%29
From eq. 1,
150%2BC=350
highlight%28+C=200%29