document.write( "Question 161573: A total of $4000 was invested, part of it at 8% and the remainder at 9%. If the total interest income amounted to $350, how much was invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #119064 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Let $\"x\"$ amount invested @ 8%
\n" ); document.write( "so the remaining, $\"4000-x\"$ was invested @9%
\n" ); document.write( "Putting into eqn with interest of $350:
\n" ); document.write( " $\"0.08x%2B0.09%284000-x%29=350\"$ , EQN 1
\n" ); document.write( " $\"0.08x%2B360-0.09x=350\"$
\n" ); document.write( " $\"360-350=0.09x-0.08x\"$
\n" ); document.write( " $\"10=0.01x\"$ -------> $\"cross%2810%291000%2Fcross%280.01%29=cross%280.01%29x%2Fcross%280.01%29\"$
\n" ); document.write( " $\"x=1000\"$ , AMOUNT INVESTED @ 8%
\n" ); document.write( " $\"4000-1000=3000\"$ , AMOUNT INVESTED @ 9%
\n" ); document.write( "Check via EQN 1
\n" ); document.write( " $\"0.08%281000%29%2B0.09%283000%29=350\"$
\n" ); document.write( " $\"80%2B270=350\"$
\n" ); document.write( " $\"350=350\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );