document.write( "Question 682570: An investor invested a total of $900 in two mutual funds. One fund earned a 8% profit while the other earned a 2% profit. If the investor's total profit was $48, how much was invested in each mutual fund? \n" ); document.write( "

Algebra.Com's Answer #423250 by mananth(16946) $\"\"$ $\"About$

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Part I 8.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 2.00% per annum ------------ Amount invested = y =
\n" ); document.write( " 900
\n" ); document.write( "Interest----- 48
\n" ); document.write( "
\n" ); document.write( "Part I 8.00% per annum ---x
\n" ); document.write( "Part II 2.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 900 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "8.00% x + 2.00% y= 48
\n" ); document.write( "Multiply by 100
\n" ); document.write( "8 x + 2 y= 4800.00 --------2
\n" ); document.write( "Multiply (1) by -8
\n" ); document.write( "we get
\n" ); document.write( "-8 x -8 y= -7200.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -6 y= -2400
\n" ); document.write( "divide by -6
\n" ); document.write( " y = 400
\n" ); document.write( "Part I 8.00% $ 500
\n" ); document.write( "Part II 2.00% $ 400
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "500 --------- 8.00% ------- 40.00
\n" ); document.write( "400 ------------- 2.00% ------- 8.00
\n" ); document.write( "Total -------------------- 48.00
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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