soybean meal is 16 protein conrmeal is 8 protein How many po

soybean meal is 16% protein: conrmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 15% protein
pound of corn meal=
pound of soybean meal=

Solution

soybean meal is 16% protein: conrmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 15% protein
pound of corn meal=
pound of soybean meal=
since 16% is closer to 15% we know we will need more of the soybean meal
call soybean mixture x, and cornmeal mixture 320-x
% * lbs mixture A + % * lbs mixture B = % * lbs mixture C
16% * x + 8% * (320-x) = 15% * 320
0.16x + 0.08*320 - 0.08x = 0.15*320
0.08x + 25.6 = 48
0.08x = 22.4
x = 280 lbs of soybean meal
320-x = 40 lbs of cornmeal