document.write( "Question 442265: How do I solve this problem?\r
\n" ); document.write( "\n" ); document.write( "A $132,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 7%. The bond and CD investment together must equal the mortgage investment. To earn a $8420 annual income from the investments, how much should the bank invest in bonds?
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Algebra.Com's Answer #305082 by mananth(16946)\"\" \"About 
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Bonds --- 6% ----- x
\n" ); document.write( "CD's -----5%-------y
\n" ); document.write( "Mortages--7%------x+y
\n" ); document.write( "...
\n" ); document.write( "Interest to be earned = $8420
\n" ); document.write( "Investment = 132,000
\n" ); document.write( "x+y+x+y = 132,000
\n" ); document.write( "2x+2y=132000
\n" ); document.write( "x+y = 66,000.........1
\n" ); document.write( "6x+5y+7(x+y) = 8420*100
\n" ); document.write( "6x+5y+7x+7y=8420*100
\n" ); document.write( "13x+12y=8420*100......2
\n" ); document.write( ".........
\n" ); document.write( "x+y=66000 .............1
\n" ); document.write( "13x+12y=842000 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -12
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-12x-12y =-792000
\n" ); document.write( "13x+12y= 842000
\n" ); document.write( "Add the two equations
\n" ); document.write( "x=50000 investment in Bonds
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "x +y = 66000
\n" ); document.write( "50000 +y = 66000
\n" ); document.write( "y = 66000 -50000
\n" ); document.write( "y = 16000
\n" ); document.write( "y = 16000 Investment in CD's\r
\n" ); document.write( "\n" ); document.write( "Mortage = 66,000
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