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 12% protein? How the heck do I obtai

Question 631963: 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 12% protein?
How the heck do I obtain the results? I understand converting the % to decimals, but now how to set this one up. Help asap is very appreciated.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of soybean meal needed
Let = pounds of cornmeal needed
= pounds of protein in soybean meal needed
= pounds of protein in cornmeal needed
------------
(1)
(2)
------------
(2)
(2)
(2)
(2)
-----------------
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
200 pounds of soybean meal are needed
80 pounds of cornmeal are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
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