document.write( "Question 129244: Buddy inherited $12,000.00. He invested part of the money at 4% and the rest at 5 1/2%. If his annual income from these investments is $532.50, how much did he invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #94444 by checkley71(8403) $\"\"$ $\"About$

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.055x+.04(12,000-x)=532.5
\n" ); document.write( ".055x+480-.04x=532.5
\n" ); document.write( ".015x=532.5-480
\n" ); document.write( ".015x=52.5
\n" ); document.write( "x=52.5/.015
\n" ); document.write( "x=3500 amount of the investment @ 5.5%
\n" ); document.write( "12,000-3,500=8500 invested @ 4%.
\n" ); document.write( "proof
\n" ); document.write( ".055*3500+.04*8500=532.5
\n" ); document.write( "192.5+340=532.5
\n" ); document.write( "532.5=532.5
\n" ); document.write( "-------------------------------------------------------------
\n" ); document.write( "ANSWER: BUT IT'S MESSY, IN MY OPINION:
\n" ); document.write( "5.5/100X+4/100(12,000-X)=532.5
\n" ); document.write( "5.5X/100+48000/100-4X/100=532.5
\n" ); document.write( "(5.5X+48000-4X)/100=532.5
\n" ); document.write( "(1.5X+48000)/100=532.5 NOW CROSS MULTIPLY
\n" ); document.write( "1.5X+48000=53250
\n" ); document.write( "1.5X=53250-48000
\n" ); document.write( "1.5X=5250
\n" ); document.write( "X=5250/1.5
\n" ); document.write( "X=3,500 AMOUNT INVESTED @ 5.5% \n" ); document.write( "

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