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Algebra/Algebra 1

Question
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%.

Algebra

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Scott A Wilson

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Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

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I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

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