SOLUTION: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein I really cant figure out

Question 137649: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein
I really cant figure out how to get the answer to this problem.
I am not sure where this question came from my instructor wrote it on the board.
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% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein
:
Let x = amt of Soybean meal (12%)
It says the resulting amt will be 240 lb, therefore:
(240-x) = amt of cornmeal (6%)
:
Write the decimal equiv equation:
.12x + .06(240-x) = .08(240)
:
.12x + 14.4 - .06x = 19.2; Mult whats inside the brackets
:
.12x - .06x = 19.2 - 14.4
:
.06x = 4.8
x =
x = 80 lb of Soybean meal
:
240 - 80 = 160 lb of cornmeal
:
:
Check solution.
.12(80) + .06(160) = .08(240)
9.6 + 9.6 = 19.2; confirms our solutions

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