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):
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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):
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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