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?

1 Answer
Apr 19, 2018

Answer:

#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]