Question

50 POINTS!!!!!!! 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?

How many pounds of soybean meal should be in the mixture?

Answer 1

S + C = 320 --> C = 320 -S 0.16S + 0.08C = 0.13*320 = 41.6 16S + 8C = 4160 16S + 8(320 - S) = 4160 16S + 2560 - 8S = 4160 8S + 2560 = 4160 8S = 4160 -2560 8S = 1600 S = 1600/8 = 200 200 pounds of Soybean and 120 pounds of cornmeal