document.write( "Question 589325: Hello! I'm insanly confused by a word problem. It is:\r
\n" ); document.write( "\n" ); document.write( "\"Mr. Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the profit on the 12% bonds was $885 more than the profit on the 5% bonds, how much did Mr. Graham invest in the 5% bonds?\"\r
\n" ); document.write( "\n" ); document.write( "Thanks for the help!
\n" ); document.write( "Joey \n" ); document.write( "

Algebra.Com's Answer #374807 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hello! I'm insanly confused by a word problem. It is:
\n" ); document.write( "\"Mr. Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the profit on the 12% bonds was $885 more than the profit on the 5% bonds, how much did Mr. Graham invest in the 5% bonds?\"
\n" ); document.write( " Thanks for the help!
\n" ); document.write( "

 \r\n" );
document.write( "                        Amount     Rate    Profit                                \r\n" );
document.write( "At lower profit rate      x        .05      .05x\r\n" );
document.write( "At higher profit rate     y        .12      .12y\r\n" );
document.write( "\r\n" );
document.write( "                            x + y = 18000\r\n" );
document.write( "\r\n" );
document.write( ">>...the profit on the 12% bonds was $885 more than the profit on the 5% bonds...<<\r\n" );
document.write( "\r\n" );
document.write( "                             .12y = .05x + 885\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve the system:\r\n" );
document.write( "                            x + y = 18000\r\n" );
document.write( "                             .12y = .05x + 885\r\n" );
document.write( "\r\n" );
document.write( "and get x = $7500, y = $10500\r\n" );
document.write( "\r\n" );
document.write( "Answer: $7500 at 5%\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );