document.write( "Question 680811: you inherit $16,000 and invest it in two bonds that pay 6% and 8% annual interest. At the end of one year the interest from the 8% bond is $580 greater than the interest from the 6% bond. How much was invested in each bond? \n" ); document.write( "
Algebra.Com's Answer #422470 by mananth(16949)\"\" \"About 
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6% bond investment be x
\n" ); document.write( "8% bond investment be y\r
\n" ); document.write( "\n" ); document.write( "x+y = 16000.................(1)\r
\n" ); document.write( "\n" ); document.write( "6%x+580=8%y\r
\n" ); document.write( "\n" ); document.write( "multiply by 100
\n" ); document.write( "6x+58000=8y
\n" ); document.write( "6x-8y=-58000................(2)\r
\n" ); document.write( "\n" ); document.write( "solve simultaneously\r
\n" ); document.write( "\n" ); document.write( "1 x + 1 y = 16000 .............1
\n" ); document.write( "
\n" ); document.write( "6 x -8 y = -58000 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 8
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "8 x 8 y = 128000
\n" ); document.write( "6 x -8 y = -58000
\n" ); document.write( "Add the two equations
\n" ); document.write( "14 x = 70000
\n" ); document.write( "/ 14
\n" ); document.write( "x = 5000
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 16000
\n" ); document.write( "5000 + y = 16000
\n" ); document.write( " y = 16000 -5000
\n" ); document.write( " y = 11000
\n" ); document.write( " y = 11000
\n" ); document.write( "x= 5000
\n" ); document.write( "y= 11000 \r
\n" ); document.write( "\n" ); document.write( "$ 5000 @ 6%
\n" ); document.write( "$ 11000 @8%
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "
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