SOLUTION: Soybean meal is 16% protein; cornmeal is 8%. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein? How many pounds of the cornmeal s

Question 182725: Soybean meal is 16% protein; cornmeal is 8%. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of the soybean meal should be in the mixture?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Making the assumption that only soybean meal and cornmeal are added to the mixture. We get x = amount of soybean meal and y = amount of cornmeal
x+y = 320.
solving for y we get y =320 -x.
We also know that 0.16(x) + .08(y) = 320*(.13)
:
.16x + 0.08(320-x) = 41.6
:
0.08x + 25.6 = 41.6
:
0.08x = 16
:
pounds of soybean
:
y=320-x:pounds of cornmeal

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