document.write( "Question 576724: Two sisters shared a $36 5000 inheritance. Teri invested her share at 9%, while Tammy obtained 8.5% interest. After on year, their combined interest was 3200. How much did each sister invest? \n" ); document.write( "
Algebra.Com's Answer #369990 by mananth(16946)![]() ![]() You can put this solution on YOUR website! I think the inheritance must be $36,500 and not 365,000\r \n" ); document.write( "\n" ); document.write( "Teri 9.00% per annum ---x \n" ); document.write( "Tammy 8.50% per annum ---y \n" ); document.write( " \n" ); document.write( "x+y= 36500 ------------------------1 \n" ); document.write( "9.00%x+8.50%y= 3200 \n" ); document.write( "Multiply by 100 \n" ); document.write( "9x+8.5y=320000.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -9 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-9 x -9 y= -328500.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "0 x -0.5 y= = -8500 \n" ); document.write( " \n" ); document.write( "divide by -0.5 \n" ); document.write( " \n" ); document.write( "y=17000 investment at 8.50% \n" ); document.write( "Balance 19500 investment at 9.00% \n" ); document.write( "CHECK \n" ); document.write( "17000 --------- 8.50% ------- 1445.00 \n" ); document.write( "19500 ------- 9.00% ------- 1755.00 \n" ); document.write( "Total -------------- 3200.00 \n" ); document.write( " \n" ); document.write( " |