document.write( "Question 64817: Walt made an extra $10,0000 last year from a part-time job. He invested part of the money at 8% and the rest at 7%. He made a total of $760 in interest. How much was invested at 7%? \n" ); document.write( "
Algebra.Com's Answer #45339 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Use the standard equation of a line: \n" ); document.write( "Ax+By=C \n" ); document.write( "and \n" ); document.write( "x+y=C \n" ); document.write( "So, x+(C-x)=C \n" ); document.write( ". \n" ); document.write( "7%x+8%y=760 \n" ); document.write( "So, .07x+.08(10,000-x)=760 [change percentages to decimals] \n" ); document.write( ".07x+800-.08x=760 [solve for x] \n" ); document.write( "-.01x=-800+760 \n" ); document.write( "-.01x=-40 \n" ); document.write( "x=-40/-.01 \n" ); document.write( "x=$4,000 invested at 7% \n" ); document.write( "$10,000-4,000=$6000 invested at 8% \n" ); document.write( ". \n" ); document.write( "check by plugging in all of the values back into the original equation: \n" ); document.write( ".07(4,000)+.08(10,000-(4,000))=760 \n" ); document.write( "760=760 [checks out]\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |