document.write( "Question 667675: Walt made an extra $5000 last year from a part time job. He invested part of the money at 8% and the rest at 9%. He made a total of $440 in interest. How much was invested at 9%? \n" ); document.write( "
Algebra.Com's Answer #415130 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 8.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 9.00% per annum ------------ Amount invested = y \n" ); document.write( " 5000 \n" ); document.write( "Interest----- 440 \n" ); document.write( " \n" ); document.write( "Part I 8.00% per annum ---x \n" ); document.write( "Part II 9.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 5000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "8.00% x + 9.00% y= 440 \n" ); document.write( "Multiply by 2 \n" ); document.write( "8 x + 9 y= 44000.00 --------2 \n" ); document.write( "Multiply (1) by -8 \n" ); document.write( "we get \n" ); document.write( "-8 x -8 y= -40000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 1 y= 4000 \n" ); document.write( "divide by 1 \n" ); document.write( " y = 4000 \n" ); document.write( "Part I 8.00% $ 1000 \n" ); document.write( "Part II 9.00% $ 4000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "1000 --------- 8.00% ------- 80.00 \n" ); document.write( "4000 ------------- 9.00% ------- 360.00 \n" ); document.write( "Total -------------------- 440.00 \r \n" ); document.write( "\n" ); document.write( "$4000 @ 9% \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |