SOLUTION: Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 13% protein? How many pounds of cornme

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Question 163159: Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 13% protein?
How many pounds of cornmeal should be in the mixture?
How many pounds of soybean meal should be in the mixture?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Call the quantity of soybean S and cornmeal C.
Write the total weight equation.
1.S%2BC=280
Write the concentration equation.
2.S%2A0.14%2BC%2A0.07=%28S%2BC%29%2A0.13
2.14S%2B7C=13%28280%29
2.14S%2B7C=3640
Use eq. 1 to solve for S in terms of C and substitute into eq. 2,
1.S%2BC=280
S=280-C
.
.
.
2.14S%2B7C=3640
14%28280-C%29%2B7C=3640
3920-14C%2B7C=3640
-7C=-280
C=40
From eq. 1,
S=280-C
S=280-40
S=240
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.
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240 pounds of soybeans and 40 pounds of cornmeal.