SOLUTION: Nathan needs a mixturee of 14% oats and 86% corn. He currently has 21 pounds of a mixture of 90% oats. How many pounds of corn should be added to the mixture? How much water s

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Nathan needs a mixturee of 14% oats and 86% corn. He currently has 21 pounds of a mixture of 90% oats. How many pounds of corn should be added to the mixture? How much water s      Log On


   



Question 766321: Nathan needs a mixturee of 14% oats and 86% corn. He currently has 21 pounds of a mixture of 90% oats. How many pounds of corn should be added to the mixture?

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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Nathan, oats and corn:

The focus is on the percent of corn.
The available 21 pounds of corn-oats blend is 90% oats and must therefore be assumed 10% corn. Nathan wants to increase the percent of corn by adding some c pounds of 100% corn:
%2821%2A10%2Bc%2A100%29%2F%2821%2Bc%29=14

100c%2B21%2A10=14%28c%2B21%29
100c%2B21%2A10=14c%2B14%2A21
86c%2B21%2A10=21%2A14
86c=21%2814-10%29
86c=21%2A4
c=84%2F86
highlight%28c=42%2F43%29 almost 1 full pound of corn.