document.write( "Question 632787: dorothy owes $11000 on two credit cards with annual interest rates of 9% and 12%. If she pays $1140 interest for the year, how much does she owe on each card? \n" ); document.write( "
Algebra.Com's Answer #398500 by mananth(16946) You can put this solution on YOUR website! Card I 9.00% per annum ------------- Amount invested =x \n" ); document.write( "Card II 12.00% per annum ------------ Amount invested = y \n" ); document.write( " 11000 \n" ); document.write( "Interest----- 1140 \n" ); document.write( " \n" ); document.write( "Card I 9.00% per annum ---x \n" ); document.write( "Card II 12.00% per annum ---y \n" ); document.write( "Credit on both cards \n" ); document.write( "x + 1 y= 11000 -------------1 \n" ); document.write( "Interestto be paid on both \n" ); document.write( "9.00% x + 12.00% y= 1140 \n" ); document.write( "Multiply by 100 \n" ); document.write( "9 x + 12 y= 114000.00 --------2 \n" ); document.write( "Multiply (1) by -9 \n" ); document.write( "we get \n" ); document.write( "-9 x -9 y= -99000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 3 y= 15000 \n" ); document.write( "divide by 3 \n" ); document.write( " y = 5000 \n" ); document.write( "Card I 9.00% $ 6000 \n" ); document.write( "Card II 12.00% $ 5000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "6000 --------- 9.00% ------- 540.00 \n" ); document.write( "5000 ------------- 12.00% ------- 600.00 \n" ); document.write( "Total -------------------- 1140.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |