document.write( "Question 810274: Mrs mitchell put a total of 10000 dls in two accounts. One account sarna 6% simple annual interest. The other earns 6.5% simple interest . After 1 year the two accounts earned 632.50 interest. Find how much money was invested in each account? \n" ); document.write( "
Algebra.Com's Answer #488054 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 6.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 6.50% per annum ------------ Amount invested = y \n" ); document.write( " 10000 \n" ); document.write( "Interest----- 632.50 \n" ); document.write( " \n" ); document.write( "Part I 6.00% per annum ---x \n" ); document.write( "Part II 6.50% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 10000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "6.00% x + 6.50% y= 632.5 \n" ); document.write( "Multiply by 100 \n" ); document.write( "6 x + 6.5 y= 63250.00 --------2 \n" ); document.write( "Multiply (1) by -6 \n" ); document.write( "we get \n" ); document.write( "-6 x -6 y= -60000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 0.5 y= 3250 \n" ); document.write( "divide by 0.5 \n" ); document.write( " y = 6500 \n" ); document.write( "Part I 6.00% dls 3500 \n" ); document.write( "Part II 6.50% dls 6500 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "3500 --------- 6.00% ------- 210.00 \n" ); document.write( "6500 ------------- 6.50% ------- 422.50 \n" ); document.write( "Total -------------------- 632.50 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |