Problema Solution
soybean meal is 14% protein; cornmeal is 7%. How man pounds of each should be mixed together in order to get 280 lb mixture that is 8% protein?
Answer provided by our tutors
let
s = the lbs of soybean meal
c = the lbs of cornmeal
soybean and cornmeal are mixed to get 280 lbs thus
s + c = 280
the mixture is 8% protein
14% of s lbs soybean protein + 7% of c lbs cornmeal protein = 8% of 280 lbs mix protein
0.14*s + 0.07*c = 0.08*280
by solving the system of equations
s + c = 280
0.14*s + 0.07*c = 0.08*280
we find
s = 40 lbs
c = 240 lbs
click here to see the step by step solution of the system of equations
we need to mix 40 lbs of soybean meal with 240 lbs of cornmeal to get the desired mix.