Problema Solution
soybean meal is 16% protien; cornmeal is 8 % protien. How many pounds of each should be mixed together in order to get 320-lp mixture that is 13% protien
Answer provided by our tutors
You have two variables, so you need two equations:
S + C = 320
0.16S + 0.08C = 0.13(320)
Solve for S in terms of C:
S = 320 - C
Plug in:
0.16(320 - C) + 0.08C = 0.13(320)
51.2 -0.16C + 0.08 C = 51.2 - 0.08 C = 41.6
-0.08 C = 41.6 - 51.2
-0.08 C = -9.6
C = 120 lbs
Now solve for S using the first equation:
S + 120 = 320
S = 200 lbs