SOLUTION: Soybean is 18%protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein?

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Question 263188: Soybean is 18%protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein?
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (Show Source):
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Soyabean is 18%protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein?
soyabean---------------- cornmeal-------------- mix
18---------------------- 9---------------------16
let quantity of soyabean be x
quantity of cornmeal will be 360-x
0.18x+ 0.9*(360-x)= 360*0.16
0.18x+324x- 0.9x = 57.6
-0.78x= -266.4
x=341.54
cornmeal 18.46

Answer by ikleyn(53742)   (Show Source):
You can put this solution on YOUR website!
.
Soybean is 18% protein and cornmeal is 9% protein, how many lbs you mix for 360lbs at 16% protein?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

        The solution in the post by @mananth is incorrect due to his arithmetic error.
        See my correct solution below.

soyabean---------------- cornmeal-------------- mix
18---------------------- 9---------------------16

let quantity of soybean be x
quantity of cornmeal will be 360-x
0.18x + 0.09*(360-x) = 360*0.16
0.18x + 32.4 - 0.09x = 57.6
0.09x = 25.2
x = 25.2/0.09 = 280 lbs soybean, cornmeal 360-280 = 80 lbs.         <<<---===     ANSWER

CHECK.    = 0.16,   or 16%.     ! correct !

Solved correctly.

Answer by josgarithmetic(39790)   (Show Source):
You can put this solution on YOUR website!
b, amount of soybeans
360-b, amount of cornmeal

Compute this,...