SOLUTION: Soybean meal in 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein?

Question 185934: Soybean meal in 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein?
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
given:
= pounds of protein in soybean meal needed
= pounds of protein in cornmeal needed
= pounds of final mixture
--------------
(1)
(2)
Multiply both sides of (1) by
(1)
(1)
Multiply both sides of (2) by
(2)
Subtract (2) from (1)
(1)
(2)
(3)
(3)
and
(2)
(2)
(2)
80 pounds of soybean meal and 240 pounds of cornmeal
are needed
check:
(1)
(1)
(1)
(1)
OK

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