SOLUTION: Soybean meal is 16% protein and cornmeal is 8% protien, how many pounds of each should be mixed together in order to get 320lb mixture that is 13% protein?

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Question 178278: Soybean meal is 16% protein and cornmeal is 8% protien, how many pounds of each should be mixed together in order to get 320lb mixture that is 13% protein?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Soybean meal is 16% protein and cornmeal is 8% protien, how many pounds of
each should be mixed together in order to get 320lb mixture that is 13% protein?
:
let x = amt of soy
The total will be 320, therefore:
(320-x) = amt of corn
:
.16x + .08(320-x) = .13(320)
:
.16x + 25.6 - .08x = 41.6
:
.16x - .08x = 41.6 - 25.6
:
.08x = 16
x = 16%2F.08
x = 200 lb of soy
then
320 - 200 = 120 lb of corn
:
:
Check solution:
.16(200) + .08(120) = .13(320)
32 + 9.6 = 41.6