Problema Solution
soybean meal is 12% protein cornmeal is 6% protein how many pounds of each should be mixed together in order to get 240 lbs of soybean mixture that is 11% protein
Answer provided by our tutors
Okay, this is a system of equations problem
x=soybean
y=cornmeal
first equation
.12x + .06y = (.11*240) = 26.4
This is derived from 12% of soybean added to 6% of cornmeal should add up to 11% protien of 240 pounds.
The second equation is
x + y = 240
The mixture must be 240 pounds.
SO
.12x + .06y = 26.4
x + y =240
Then solve...
I would use the second equation and get y by itself (y= 240-x) and the plug it into the top one.
.12x + .06(240-x) = 26.4
.12x + 14.4 - .06x = 26.4
.06x + 14.4 = 26.4
.06x = 12
x=200
Then plug it into the original (x + y = 240)
x= 200
y=40