document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #254403 by Fombitz(32388)\"\" \"About 
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Let \"A\" be the amount of 12% solution, \"B\" the amount of 22% solution.
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\n" ); document.write( "Total volume equation:
\n" ); document.write( "1.\"A%2BB=120\"
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\n" ); document.write( "Concentration equation:
\n" ); document.write( "\"12A%2B22B=16%28120%29\"
\n" ); document.write( "2.\"6A%2B11B=960\"
\n" ); document.write( "Multiply eq. 1 by (-6) and add to eq. 2 to eliminate A and solve for B.
\n" ); document.write( "\"-6A-6B%2B6A%2B11B=-720%2B960\"
\n" ); document.write( "\"5B=240\"
\n" ); document.write( "\"highlight%28B=48%29\"gallons
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"A%2B48=120\"
\n" ); document.write( "\"highlight%28A=72%29\"gallons
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