document.write( "Question 805496: an investor invested a total of 2500 in two mutual funds. One fund earned a 7% profit while the other earned a 5% profit. if the investors total profit $157, how much was invested in each fund. \n" ); document.write( "
Algebra.Com's Answer #485296 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 5.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 7.00% per annum ------------ Amount invested = y \n" ); document.write( " 2500 \n" ); document.write( "Interest----- 157.00 \n" ); document.write( " \n" ); document.write( "Part I 5.00% per annum ---x \n" ); document.write( "Part II 7.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 2500 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "5.00% x + 7.00% y= 157 \n" ); document.write( "Multiply by 100 \n" ); document.write( "5 x + 7 y= 15700.00 --------2 \n" ); document.write( "Multiply (1) by -5 \n" ); document.write( "we get \n" ); document.write( "-5 x -5 y= -12500.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 2 y= 3200 \n" ); document.write( "divide by 2 \n" ); document.write( " y = 1600 - x) \n" ); document.write( "Part I 5.00% $ 900 \n" ); document.write( "Part II 7.00% $ 1600 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "900 --------- 5.00% ------- 45.00 \n" ); document.write( "1600 ------------- 7.00% ------- 112.00 \n" ); document.write( "Total -------------------- 157.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |