SOLUTION: Soybean meal is 14% protein; cormeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 11% protein? How many pounds of the

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Question 366493: Soybean meal is 14% protein; cormeal is 7% protein. How many pounds of each should be mixed together in order to get 280-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 josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pounds of cornmeal needed
Let = pounds of soybean meal needed
given:
Pounds of protein in pounds of cornmeal:

Pounds of protein in pounds of soybean meal

(1)
----------------
In words:
(pounds of protein in final mixture)/(total pounds of final mixture) = 11%



divide both sides by
(2)
Subtract (1) from ()
(2)
(1)

and, since


120 pounds of cornmeal and 160 pounds of soybean meal are needed
check answer:





OK

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