Problema Solution

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 15% protein.

Answer provided by our tutors

Let the pounds of soybean and cornmeal needed be x and (320 - x) respectively.

So,

0.16(x) + 0.08(320 - x) = 0.15(320)

0.16x + 25.6 - 0.08x = 48

0.08x + 25.6 = 48

0.08x = 48 - 25.6

0.08x = 22.4

x = 280

So, 280 lbs of soybean is needed AND (320 - 280 = 40 Ibs) of cornmeal is needed.

Ans: 40 Ibs of cornmeal is needed.