document.write( "Question 635216: Mrs. Garcia invests a total of $9099 in two savings accounts. One account yields 7.5% simple interest and the other 9% simple interest. She earned a total of $699.84 interest for the year. How much was invested in each account? \n" ); document.write( "
Algebra.Com's Answer #400254 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Account I 7.50% per annum ------------- Amount invested =x \n" ); document.write( "Account II 9.00% per annum ------------ Amount invested = y \n" ); document.write( " 9099 \n" ); document.write( "Interest----- 699.84 \n" ); document.write( " \n" ); document.write( "Account I 7.50% per annum ---x \n" ); document.write( "Account II 9.00% per annum ---y \n" ); document.write( "Credit on both cards \n" ); document.write( "x + y= 9099 -------------1 \n" ); document.write( "Interestto be paid on both \n" ); document.write( "7.50% x + 9.00% y= 699.84 \n" ); document.write( "Multiply by 100 \n" ); document.write( "7.5 x + 9 y= 69984.00 --------2 \n" ); document.write( "Multiply (1) by -7.5 \n" ); document.write( "we get \n" ); document.write( "-7.5 x -7.5 y= -68242.50 \n" ); document.write( "Add this to (2) we get \n" ); document.write( "1.5 y= 1741.5 \n" ); document.write( "divide by 1.5 \n" ); document.write( " y = 1161 \n" ); document.write( " \n" ); document.write( "Account I 7.50% $ 7938 \n" ); document.write( "Account II 9.00% $ 1161 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "7938 --------- 7.50% ------- 595.35 \n" ); document.write( "1161 ------------- 9.00% ------- 104.49 \n" ); document.write( "Total -------------------- 699.84 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |