SOLUTION: Soybean meal is 12% protein; cornmeal so 6% protein. How many pounds of each should be mixed together in order to get a 240lb mixture that is 9% protein? How many lbs of cornmeal

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Question 324965: Soybean meal is 12% protein; cornmeal so 6% protein. How many pounds of each should be mixed together in order to get a 240lb mixture that is 9% protein?
How many lbs of cornmeal should be in the mixture? ___lbs?
How many lbs of soybean meal should be in the mixture? ___lbs?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let S be the amount of soybeans, C the amount of cornmeal.
1.S%2BC=240
2.12S%2B6C=9%28240%29=2160
From eq. 1,
S=240-C
Substitute into eq. 2,
12%28240-C%29%2B6C=2160
2880-12C%2B6C=2160
-6C=-720
C=120
Then from eq. 1,
S%2B120=240
S=120
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.
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Use 120 lb of each soybeans and cornmeal.