SOLUTION: Soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360-lb mixture that is 11% protein? How many pounds of the

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Question 319453: Soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360-lb mixture that is 11% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of the soybean meal should be in the mixture?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Soybean meal is 18% protein; cornmeal is 9% protein.
How many pounds of each should be mixed together in order to get 360-lb mixture that is 11% protein?
:
Let x = amt of Soy
the result is to be 360 lb, therefore
(360-x) = amt of corn
:
An amt of protein equation
.18x + .09(360-x) = .11(360)
:
.18x + 32.4 - .09x = 39.6
:
.18x - .09x = 39.6 - 32.4
:
.09x = 7.2
x =
x = 80 lb of soy
and
360 - 80 = 280 lb of corn
:
:
Check solution in original mixture equation
.18(80) + .09(280) = .11(360)
14.4 + 25.2 = 39.6, confirms our solution

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