document.write( "Question 685475: An investor invested a total of $2000 in 2 mutual funds. One fund earned an 8% profit and the other earned a 4% profit. If his total profit was $132, how much was invested in each fund? \n" ); document.write( "
Algebra.Com's Answer #424451 by mananth(16946) You can put this solution on YOUR website! Part I 8.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 4.00% per annum ------------ Amount invested = y \n" ); document.write( " 2000 \n" ); document.write( "Interest----- 132 \n" ); document.write( " \n" ); document.write( "Part I 8.00% per annum ---x \n" ); document.write( "Part II 4.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 2000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "8.00% x + 4.00% y= 132 \n" ); document.write( "Multiply by 100 \n" ); document.write( "8 x + 4 y= 13200.00 --------2 \n" ); document.write( "Multiply (1) by -8 \n" ); document.write( "we get \n" ); document.write( "-8 x -8 y= -16000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x -4 y= -2800 \n" ); document.write( "divide by -4 \n" ); document.write( " y = 700 \n" ); document.write( "Part I 8.00% $ 1300 \n" ); document.write( "Part II 4.00% $ 700 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "1300 --------- 8.00% ------- 104.00 \n" ); document.write( "700 ------------- 4.00% ------- 28.00 \n" ); document.write( "Total -------------------- 132.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |