document.write( "Question 581119: Lisa invested part of her $35,000 bonus on a fund that paid an 11% profit, and one that suffered a 4% loss. Find the amount of each investment if the net profit was $1,900. \n" ); document.write( "

Algebra.Com's Answer #371464 by mananth(16946) $\"\"$ $\"About$

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part I 11.00% per annum ---x
\n" ); document.write( "part II -4.00% per annum ---y
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\n" ); document.write( "x + 1 y= 35000 ------------------------1
\n" ); document.write( "11.00% x + -4.00% y= 1900
\n" ); document.write( "Multiply by 100
\n" ); document.write( "11 x + -4 y=190000.00 --------2
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\n" ); document.write( "Multiply (1) by -11
\n" ); document.write( "we get
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\n" ); document.write( "-11 x -11 y=-385000.00
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\n" ); document.write( "Add this to (2)
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\n" ); document.write( "-15 y= =-195000
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\n" ); document.write( "divide by-15
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\n" ); document.write( "y = 13000 investment at (4.00% )
\n" ); document.write( "Balance 22000 investment at 11.00%
\n" ); document.write( "CHECK
\n" ); document.write( "13000 --------- -4.00% ------- -520.00
\n" ); document.write( "22000 ------- 11.00% ------- 2420.00
\n" ); document.write( "Total -------------- 1900.00
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