document.write( "Question 994963: An agronomist has 4 % nitrogen fertilizer and 20 % nitrogen fertilizer. He needs to get 500 pounds of 14 % nitrogen fertilizer. Determine the number of pounds of each he needs to mix
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #613856 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x be the number of pounds of 4%. That means there are 500-x pounds of 20%\r
\n" ); document.write( "\n" ); document.write( " $\"0.14+%2A+500+=+0.04%2Ax+%2B+0.20%2A%28500-x%29\"$
\n" ); document.write( " $\"70+=+0.04x+%2B+100+-+0.2x\"$
\n" ); document.write( " $\"-30+=+-0.16x\"$
\n" ); document.write( " $\"187.5+=+x\"$
\n" ); document.write( "So there are 187.5 pounds of 4%
\n" ); document.write( "Which leaves 312.5 pounds of 20%\r
\n" ); document.write( "\n" ); document.write( "As a quick check, realize that you added more 20% than you did 4%. Since 14% is closer to 20% than it is to 4%, adding more of the 20% makes sense right!
\n" ); document.write( " \n" ); document.write( "

\n" );