document.write( "Question 1157106: A man invested part of $15,000 at 12% and the remainder at 8%. If his annual
\n" ); document.write( "income from the two investments is $1456, how much does he have invested at
\n" ); document.write( "each rate? \n" ); document.write( "
Algebra.Com's Answer #779915 by mananth(16946)\"\" \"About 
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part at 12% ---------------- x\r
\n" ); document.write( "\n" ); document.write( "and the remainder at 8%.---------- y\r
\n" ); document.write( "\n" ); document.write( " Total investment =$15,000 \r
\n" ); document.write( "\n" ); document.write( "1.00 x + 1.00 y = 15000.00
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\n" ); document.write( "0.12 x + 0.08 y = 1456.00
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -0.08
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-0.08 x -0.08 y = -1200.00
\n" ); document.write( "0.12 x 0.08 y = 1456.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "0.04 x = 256.00
\n" ); document.write( "/ 0.08
\n" ); document.write( "x = 6400.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 15000.00
\n" ); document.write( "6400.00 + 1.00 y = 15000.00
\n" ); document.write( " 1.00 y = 8600.00
\n" ); document.write( " y = 8600.00
\n" ); document.write( "Ans x = 6400.00
\n" ); document.write( " y = 8600.00
\n" ); document.write( "6400.00 @12%
\n" ); document.write( "8600.00 @8% \r
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