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

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) (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 =
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) (Show Source): You can put this solution on YOUR website!
Let = pounds of cornmeal needed
Let = pounds of soybean needed
given:
protein in soybean meal =
protein in cornmeal =
-----------------------------------
In words:
(lbs of soybean protein + lbs of cornmeal protein)/(lbs of mixture) = 9%

(1)
also
(2)
Multiply both sides of (2) by 6 and subtract from (1)

lbs
and

lbs
120 pounds of soybean and 120 pounds of cornmeal are needed
check:

and

OK

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