SOLUTION: Can someone help me please? I'd be grateful, thanks. Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get a 240 po

Question 193732: Can someone help me please? I'd be grateful, thanks.
Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get a 240 pound mixture that is 11% protein. How many pounds of cornmeal and how many pounds of soybean meal?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Letx = the required number of pounds of soybean meal with 12% protein. Then you would need to mix (240-x) pounds of cornmeal with 6% protein to obtain 240 pounds of a mixture with 11% protein.
Let's write the equation to solve for x after changing the percentages to their decimal equivalents.
0.12x+0.06(240-x) = 0.11(240) Simplify.
0.12x+14.4-0.06x = 26.4 Combine the x-terms on the left.
0.06x+14.4 = 26.4 Subtract 14.4 from both sides.
0.06x = 12 Divide both sides by 0.06
x = 200 pounds of soybean meal.
240-x = 240-200 = 40 pounds of cornmeal.
You would need to mix 200 pounds of soybean meal (12% protein) with 40 pounds of cornmeal (6% protein) to obtain 240 pounds of the mixture (11% protein).
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