document.write( "Question 330049: A retiring pilot has $8,600 to invest. He invested part of it in bonds getting 5% interest, and the remainder in mortgage, getting 8% interest. Find the investment at each rate if the total interest in a year is $600. \n" ); document.write( "

Algebra.Com's Answer #236624 by Fombitz(32388) $\"\"$ $\"About$

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Let A be the amount in bonds, B the amount in mortgage.
\n" ); document.write( "1 $\"A%2BB=8600\"$
\n" ); document.write( "2. $\"5A%2B8B=60000\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"A=8600-B\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"5%288600-B%29%2B8B=60000\"$
\n" ); document.write( " $\"43000-5B%2B8B=60000\"$
\n" ); document.write( " $\"3B=17000\"$
\n" ); document.write( " $\"B=5666.67\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"A%2B5666.67=8600\"$
\n" ); document.write( " $\"A=2933.33\"$
\n" ); document.write( " \n" ); document.write( "

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