SOLUTION: A farmer needs 120 gallons of 16% nitrogen fertilizer. He only has 12% and 22% nitrogen fertilizers to work with. How much of the 12% and 22% are needed in order to complete the mi

Question 356356: A farmer needs 120 gallons of 16% nitrogen fertilizer. He only has 12% and 22% nitrogen fertilizers to work with. How much of the 12% and 22% are needed in order to complete the mixture?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let be the amount of 12% solution, the amount of 22% solution.
.
.
Total volume equation:
1.
.
.
Concentration equation:

2.
Multiply eq. 1 by (-6) and add to eq. 2 to eliminate A and solve for B.

gallons
Then from eq. 1,

gallons
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