document.write( "Question 866983: A businessman wishes to invest $20,000 in two different funds which yield annual profits of 12 ½ % and 14%, respectively. Find how much he should invest in each in order to make an annual profit of $2710. \n" ); document.write( "
Algebra.Com's Answer #522655 by mananth(16946)\"\" \"About 
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Part I 12.50% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 14.00% per annum ------------ Amount invested = y
\n" ); document.write( " 20000
\n" ); document.write( "Interest----- 2710.00
\n" ); document.write( "
\n" ); document.write( "Part I 12.50% per annum ---x
\n" ); document.write( "Part II 14.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 20000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "12.50% x + 14.00% y= 2710
\n" ); document.write( "Multiply by 100
\n" ); document.write( "12.5 x + 14 y= 271000.00 --------2
\n" ); document.write( "Multiply (1) by -12.5
\n" ); document.write( "we get
\n" ); document.write( "-12.5 x -12.5 y= -250000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x 1.5 y= 21000
\n" ); document.write( "divide by 1.5
\n" ); document.write( " y = 14000
\n" ); document.write( "Part I 12.50% $ 6000
\n" ); document.write( "Part II 14.00% $ 14000
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "6000 --------- 12.50% ------- 750.00
\n" ); document.write( "14000 ------------- 14.00% ------- 1960.00
\n" ); document.write( "Total -------------------- 2710.00
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\n" ); document.write( "m.ananth@hotmail.ca
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