document.write( "Question 8598: Cynthia invested three times as much money at 6% as at 5%. If the total simple interest for one year is $1150, how much has Cynthia invested at 5%? \n" ); document.write( "
Algebra.Com's Answer #4754 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = amount invested at 5% \n" ); document.write( "3x= amount invested at 6%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total interest = \n" ); document.write( ".05x + .06(3x) = 1150 \n" ); document.write( ".05x + .18x = 1150 \n" ); document.write( ".23x = 1150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by .23 \n" ); document.write( " \n" ); document.write( "x= $5000 at 5% \n" ); document.write( "3x = $15000 at 6%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: $.05(5000) + $.06(15000) = $1150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |