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 cornmea

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Question 448873: 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?
How many pounds of soybean?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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? How many pounds of soybean?
:
Let x = amt of soy
the states that the resulting total will equal 280 lb, therefore
(280-x) = amt of cornmeal
:
Write a per-cent protein equation in decimal form:
:
.14x + .07(280-x) = .13(280)
.14x + 19.6 - .07x = 36.4
.14x - .07x = 36.4 - 19.6
.07x = 16.8
x = 16.8%2F.07
x = 240 lb of soy
then
280 - 240 = 40 lb of corn meal
:
:
Check this
.14(240) + .07(40) =
33.6 + 2.8 = 36.4