Question

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?

Answer 1

`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 `(320-x)` pounds of Corn meal of `8%` protein to get

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

content we get, `0.16 x+ (320-x) *0.08 =320 *0.14` or

`0.16 x - 0.08 x+ 25.6 = 44.8 or 0.08 x = 44.8-25.6` or

`0.08 x = 19.2 :. x = 19.2/0.08 =240:. 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]