SOLUTION: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins. How many pounds of cornm

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins. How many pounds of cornm      Log On


   



Question 210054: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins.
How many pounds of cornmeal?
How many pounds of soybean?

Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Soybean meal is 12% protein, cornmeal is 6% proteins.
how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins.
:
let x = amt of Soy Meal
A 240 lb mixture, therefore:
(240-x) = amt of cornmeal
:
.12x + .06(240-x) = .09(240)
:
.12x + .14.4 - .06x = 21.6
:
.12x - .06x = 21.6 - 14.4
:
.06x = 7.2
x = 7.2%2F.06
x = 120 lb of soy meal
then
240 - 120 = 120 lb of corn meal
:
:
How many pounds of cornmeal? 120 lb
How many pounds of soybean? 120 lb

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c = pounds of cornmeal needed
Let s = pounds of soybean needed
given:
protein in soybean meal = .12s
protein in cornmeal = .06c
-----------------------------------
In words:
(lbs of soybean protein + lbs of cornmeal protein)/(lbs of mixture) = 9%
%28.12s+%2B+.06c%29+%2F+240+=+.09
.12s+%2B+.06c+=+21.6
(1) 12s+%2B+6c+=+2160
also
(2) s+%2B+c+=+240
Multiply both sides of (2) by 6 and subtract from (1)
12s+%2B+6c+=+2160
-6s+-+6c+=+-1440
6s+=+720
s+=+120 lbs
and
s+%2B+c+=+240
120+%2B+c+=+240
c+=+120 lbs
120 pounds of soybean and 120 pounds of cornmeal are needed
check:
.12s+=+.12%2A120
.12s+=+14.4
and
.06c+=+.06%2A120
.06c+=+7.2
%28.12s+%2B+.06c%29+%2F+240+=+.09
%2814.4+%2B+7.2%29%2F240+=+.09
21.6%2F240+=+.09
21.6+=+21.6
OK