SOLUTION: I have one word problem left and need some help. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mi

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Question 144385: I have one word problem left and need some help.
Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 9% protein? How many ponds of the cornmeal should be in the mixture? How many pounds of the soybean meal should be in the mixture?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Setup two equations
let s be the weight of soy and c be the weight of corn
s+%2B+c+=+320
0.16s+%2B+0.08c+=+0.09%2A320
Now use your favorite method to solve. I will use elimination
-0.08s+-+0.08c+=%28-0.08%29320
0.16s+%2B+0.08c+=+0.09%2A320
---------------------------------
0.08s = (0.01)320
s = 40
then c=280
Plug in and verify the answers are correct