document.write( "Question 473004: Jakaya received an inheritance of $70,000. She invested part at 8% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was $6000. Find the amount invested at 10%. \n" ); document.write( "

Algebra.Com's Answer #324324 by mananth(16946) $\"\"$ $\"About$

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Investment I 8.00% per annum
\n" ); document.write( "Investment II 10.00% per annum
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\n" ); document.write( "x+y=70000 ------------------------1
\n" ); document.write( "8.00%x+10.00%y= $6,000.00
\n" ); document.write( "Multiply by 100
\n" ); document.write( "8x+10y = $600,000.00 --------2
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\n" ); document.write( "Multiply (1) by -8
\n" ); document.write( "we get
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\n" ); document.write( "-8x-8y =-560000.00
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\n" ); document.write( "Add this to (2)
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\n" ); document.write( "2 y = $40,000.00
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\n" ); document.write( "divide by 2
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\n" ); document.write( "y = $20,000.00 investment at 10.00%
\n" ); document.write( "Balance $50,000.00 investment at 8.00%
\n" ); document.write( "CHECK
\n" ); document.write( "$50,000.00 $4,000.00
\n" ); document.write( "$20,000.00 $2,000.00
\n" ); document.write( "Total $6,000.00
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