document.write( "Question 934187: A businessman invests total of $200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of $11,600, how much did he invest at 7% \n" ); document.write( "
Algebra.Com's Answer #568660 by ptfile(81)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let x = amount invested at 5%\r\n" ); document.write( " y = amount invested at 7%\r\n" ); document.write( "\r\n" ); document.write( "A businessman invests total of $200,000 in two companies which paid dividends of 5% and 7% respectively.\r\n" ); document.write( "x+y=200000\r\n" ); document.write( "\r\n" ); document.write( "If he received a total of $11,600\r\n" ); document.write( ".05x.07y=11600\r\n" ); document.write( " x+ y=200000\r\n" ); document.write( "\r\n" ); document.write( "-.07x-.07y=-14000\r\n" ); document.write( " .05x+.07y= 11600\r\n" ); document.write( "------------------\r\n" ); document.write( " -.02x=-2400\r\n" ); document.write( " x=120000\r\n" ); document.write( " y= 80000\r\n" ); document.write( "\r\n" ); document.write( "At the interest rate 7%, he only invested $80,0000.\r\n" ); document.write( "\n" ); document.write( " |