# Soybean meal is 16% protein cornmeal is 8% protein how many pounds of each should be mixed together in order to get 320 lb mixture that is 14% protein how many pounds of cornmeal should be in the mixture?

Apr 19, 2018

$240$ pounds of Soybean meal to be mixed with $80$ pounds of Corn meal to get $320$ pounds mixture.

#### Explanation:

Let $x$ pounds of Soybean meal of 16% protein is mixed

with $\left(320 - x\right)$ pounds of Corn meal of 8% protein to get

$320$ pounds mixture of 14% protein. Equating protein

content we get, $0.16 x + \left(320 - x\right) \cdot 0.08 = 320 \cdot 0.14$ or

$0.16 x - 0.08 x + 25.6 = 44.8 \mathmr{and} 0.08 x = 44.8 - 25.6$ or

$0.08 x = 19.2 \therefore x = \frac{19.2}{0.08} = 240 \therefore 320 - 240 = 80$. Hence

$240$ pounds of Soybean meal of 16% protein to be mixed

with $80$ pounds of Corn meal of 8% protein to get

$320$ pounds mixture of `14% protein. [Ans]