SOLUTION: A health food store sells oatmeal for $3.60 per pound and bran flakes for $4.80 per pound. How many pounds of each should be used to get a mixture of 30 pounds that sells for $4.00

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Question 524004: A health food store sells oatmeal for $3.60 per pound and bran flakes for $4.80 per pound. How many pounds of each should be used to get a mixture of 30 pounds that sells for $4.00 a pound?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A health food store sells oatmeal for $3.60 per pound and bran flakes for $4.80 per pound. How many pounds of each should be used to get a mixture of 30 pounds that sells for $4.00 a pound?
First you have the AMOUNT OF CEREAL equation:

%28matrix%285%2C1%2C%0D%0ANumber%2C%0D%0Aof%2C+%0D%0Apounds%2C%0D%0Aof%2C%0D%0Aoatmeal%29%29+= or x + y = 30  

And second, you have the AMOUNT OF MONEY equation:

+= or (x)(3.60) + (y)(4.80) = (30)(4.00) or 3.6x + 4.8y = 120

So you have this system of equations:

x + y = 30
3.6x + 4.8y = 120 

Solve that system and get x = 20 and y = 10.

Answer: 20 pounds of oatmeal and 10 pounds of bran flakes. 

Edwin