SOLUTION: A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ration to make 1100 pounds of a high-grade 50% protein ration. How may pounds of each should he use?

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Question 979646: A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ration to make 1100 pounds of a high-grade 50% protein ration. How may pounds of each should he use?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=70%
1100-x=20%
.70x+ .20(1100-x)=1100(.50)=550 lb-protein.
.70x+220-.20x=550
.50x=330
x=660 pounds of 70%=462 lb.-protein.
1100-x=440 pounds of 20%=88 lb-protein
Total is 550 lb-protein.
660 pounds of 70%
440 pounds of 20%