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Need help with a word problem

Soybean is 18% protein;cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360-1b mixture that is 12% protein.

The soybean is 18% - 12% = 6% higher and the protein is 12% - 9% = 3%.

Since 3% ( the amount protein is under) is one half of 6% (the amount soybean is over),
it takes twice as much of the protein as it does the soybean.

That means that 2/3 needs to be cornmeal and 1/3 needs to be soybean.
Since 1/3 of 360 is 120, that is 120-lbs of soybean.
Since 1/3 is 120, 2/3 is 240, so we have 240-lbs of cornmeal.

To check this, if we 120-lbs of soybean at 18%, we get 21.6 grams of protein and
the if we take 240-lb of protein, we get 240*9% = 21.6 grams of protein.
That makes for a total of 43.2 grams.  When there is a 360-lb total, 100%(43.2/360) = 12%.


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Scott A Wilson


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