SOLUTION: Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein. Thanks for your help!

Algebra ->  Equations -> SOLUTION: Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein. Thanks for your help!      Log On


   

Question 176782: Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be mixed to get a 350 lb mixture that is 12% protein.

Thanks for your help!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the amount of soy bean mixture and cornmeal mixture respectively
:
x+y=350.............eq 1
.16x+.09y=.12(350)..eq 2
:
rewrite eq 1 to x=350-y and plug it into eq 2
:
.16(350-y)+.09y=42
:
56-.16y+.09y=42
:
-.07y=-14
:
highlight%28y=200%29pounds of cornmeal mix
:
x=350-yx=350-y=350-200=highlight%28150%29pounds of soy bean mix