SOLUTION: Soybean meal in 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein?

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Question 988492: Soybean meal in 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Solution works the same as this video presentation:
two part mixture using just one variable for quantitys to solve
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Soybean meal in 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein? 
Let amount of 16% protein to mix, be S

Then amount of 9% protein to mix = 350 - S

We then get: .16S + .09(350 - S) = .12(350)

.16S + 31.5 - .09S = 42

.16S - .09S = 42 - 31.5

.07S = 10.5

S, or amount of 16% protein to mix = , or  lbs

Amount of 9% protein to mix = 250 - 150, or  lbs 

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