document.write( "Question 901861: Please help, ive been stuck on this question for the last 45 mins. \r
\n" ); document.write( "\n" ); document.write( "QUESTION: A man invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 4.5%. If his total annual investment income was $550, how much had he invested?\r
\n" ); document.write( "\n" ); document.write( "What i got so far:
\n" ); document.write( "x/2(.05)+x/3(.04)+( i dont know what would go here)(.045)=$550\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for your help in advance!!
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Algebra.Com's Answer #547001 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A man invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 4.5%. If his total annual investment income was $550, how much had he invested?
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\n" ); document.write( "let x=total amount invested
\n" ); document.write( "x/2=amt invested at 5%
\n" ); document.write( "x/3=amt invested at 4%
\n" ); document.write( "x-(x/2+x/3)=x-3x/6-2x/6=x/6=remaining amt invested at 4.5%
\n" ); document.write( "..
\n" ); document.write( "5%(x/2)+4%(x/3)+4.5%(x/6)=550
\n" ); document.write( "lcd:6
\n" ); document.write( ".05*3x+.04*2x+.045*x=3300
\n" ); document.write( ".15x+.08x+.045x=3300
\n" ); document.write( "x=12000
\n" ); document.write( "how much had he invested? $12,000
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