document.write( "Question 1151796: A retired couple invested part of $11,800 at 6% interest and the rest at 7.5%. If their annual income from these investments is $801, how much was invested at each rate? Please help! thanks \n" ); document.write( "
Algebra.Com's Answer #773660 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A retired couple invested part of $11,800 at 6% interest and the rest at 7.5%. \n" ); document.write( " If their annual income from these investments is $801, how much was invested at each rate? \n" ); document.write( ": \n" ); document.write( "let x = amt invested at 7.5% \n" ); document.write( "the total invested was 11800, therefore \n" ); document.write( "(11800-x) = amt invested at 6% \n" ); document.write( ": \n" ); document.write( ".075x + .06(11800-x) = 801 \n" ); document.write( "distribute .06 \n" ); document.write( ".075x + 708 - .06x = 801 \n" ); document.write( ".075x - .06x = 801 - 708 \n" ); document.write( ".015x = 93 \n" ); document.write( "x = 93/.015 \n" ); document.write( "x = $6200 invested at 7.5% \n" ); document.write( "then \n" ); document.write( "11800 - 6200 = $5600 invested at 6% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( ".075*6200 = 465 \n" ); document.write( ".06 *5600 - 336 \n" ); document.write( "------------------ \n" ); document.write( "total amt: 801 \n" ); document.write( " |