SOLUTION: Soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320- pound mixture that is 13% protein?? How many pounds of c

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Question 289736: Soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320- pound mixture that is 13% protein??
How many pounds of cornmeal?________
How many pounds of soybean meal??_______

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Soybean meal is 16% protein. Cornmeal is 8% protein.
How many pounds of each should be mixed together in order to get 320
pound mixture that is 13% protein??
:
Let x = amt of soy
then the total is to be 320lb, therefore:
(320-x) = amt of corn
:
A typical mixture equation:
.16x + .08(320-x) = .13(320)
.16x + 25.6 - .08 = 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 in original equation
.16(200) + .08(120) = .13(320)
32 + 9.6 - 41.6