document.write( "Question 406128: Mr. Horn invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 3.5%. If his total annual investment income was $530.00, how much had he invested? \n" ); document.write( "

Algebra.Com's Answer #286729 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Mr. Horn invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 3.5%.
\n" ); document.write( "If his total annual investment income was $530.00, how much had he invested?
\n" ); document.write( ":
\n" ); document.write( "Let x = total amt invested
\n" ); document.write( ":
\n" ); document.write( "Find out what fraction, \"the rest\" is:
\n" ); document.write( " $\"6%2F6\"$ - $\"3%2F6\"$ - $\"2%2F6\"$ = $\"1%2F6\"$
\n" ); document.write( ":
\n" ); document.write( "The equation:
\n" ); document.write( ".05( $\"1%2F2\"$ x) + .04( $\"1%2F3\"$ x) + .035( $\"1%2F6\"$ x) = 530
\n" ); document.write( "multiply by 6 to get rid of the denominators; results:
\n" ); document.write( ".05(3x) + .04(2x) + .035x = 6(530)
\n" ); document.write( ".15x + .08x + .035x = 3180
\n" ); document.write( ".265x = 3180
\n" ); document.write( "x = $\"3180%2F.265\"$
\n" ); document.write( "x = $12,000 invested
\n" ); document.write( ".
\n" ); document.write( ":
\n" ); document.write( "I'll let you confirm this solution by replacing x with 12000 in the original equation \n" ); document.write( "

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