document.write( "Question 725943: an investor invested a total of $2,300 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $175, how much was invested in each mutual fund? \n" ); document.write( "

Algebra.Com's Answer #444397 by mananth(16946) $\"\"$ $\"About$

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Part I 8.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 5.00% per annum ------------ Amount invested = y
\n" ); document.write( " 2300
\n" ); document.write( "Interest----- 175
\n" ); document.write( "
\n" ); document.write( "Part I 8.00% per annum ---x *
\n" ); document.write( "Part II 5.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 2300 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "8.00% x + 5.00% y= 175
\n" ); document.write( "Multiply by 100
\n" ); document.write( "8 x + 5 y= 17500.00 --------2
\n" ); document.write( "Multiply (1) by -8
\n" ); document.write( "we get
\n" ); document.write( "-8 x -8 y= -18400.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -3 y= -900
\n" ); document.write( "divide by -3
\n" ); document.write( " y = 300 - x)
\n" ); document.write( "Part I 8.00% $ 2000
\n" ); document.write( "Part II 5.00% $ 300
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "2000 --------- 8.00% ------- 160.00
\n" ); document.write( "300 ------------- 5.00% ------- 15.00
\n" ); document.write( "Total -------------------- 175.00
\n" ); document.write( " 11.6
\n" ); document.write( "m.ananth@hotmail.ca 1520
\n" ); document.write( " \n" ); document.write( "

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