document.write( "Question 1103832: Charlie invested his savings in two investment funds. The
\n" ); document.write( "$4000
\n" ); document.write( " that he invested in Fund A returned a
\n" ); document.write( "2%
\n" ); document.write( " profit. The amount that he invested in Fund B returned a
\n" ); document.write( "5%
\n" ); document.write( " profit. How much did he invest in Fund B, if both funds together returned a
\n" ); document.write( "3%
\n" ); document.write( " profit?
\n" ); document.write( "

Algebra.Com's Answer #718532 by ikleyn(52824)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Charlie invested his savings in two investment funds.
\n" ); document.write( "The $4000 that he invested in Fund A returned a 2% profit.
\n" ); document.write( "The amount that he invested in Fund B returned a 5% profit.
\n" ); document.write( "How much did he invest in Fund B, if both funds together returned a 3% profit?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "interest  + interest = interest\r\n" );
document.write( "\r\n" );
document.write( "0.02*4000 + 0.05*x   = 0.03*(4000+x)\r\n" );
document.write( "\r\n" );
document.write( "80        + 0.05x    = 120 + 0.03x\r\n" );
document.write( "\r\n" );
document.write( "0.05x - 0.03x = 120 - 80\r\n" );
document.write( "\r\n" );
document.write( "0.02x = 40  ====>  x = \"40%2F0.02\" = \"4000%2F2\" = 2000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  $2000 was invested in Fund B.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.  0.02*4000 + 0.05*2000 = 180  dollars;\r\n" );
document.write( "\r\n" );
document.write( "        0.03*(4000 + 2000) = 180 dollars.    ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "-------------------
\n" ); document.write( "To see other similar problems on investment solved, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );