document.write( "Question 149209: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%? Please show all work.... \n" ); document.write( "
Algebra.Com's Answer #109467 by mangopeeler07(462) ![]() You can put this solution on YOUR website! x=9% money \n" ); document.write( "y=8% money \n" ); document.write( "coefficient=percent\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=9000----------------------because there was $9000 extra \n" ); document.write( "9x+8y=77000-------------------because 9% x + 8% y= 77000% (or 770)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x in the first equation \n" ); document.write( "x=9000-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that in \n" ); document.write( "9(9000-y)+8y=77000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute the 9 to the parentheses \n" ); document.write( "81000-9y+8y=77000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "81000-y=77000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 81000 from both sides \n" ); document.write( "-y=-4000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by -1 \n" ); document.write( "y=4000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=8% money\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "money invested at 8%: $4000 \n" ); document.write( " |