document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187624>Question 187624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140654 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Mike invested $6000 for one year\" ----> x+y=6000 ----> y=6000-x\r<BR>\n" );
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document.write( "\"He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest\" ----> 0.09x+0.11y=624 ----> 9x+11y=62400\r<BR>\n" );
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document.write( "9x+11y=62400\r<BR>\n" );
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document.write( "9x+11(6000-x)=62400\r<BR>\n" );
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document.write( "9x+66000-11x=62400\r<BR>\n" );
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document.write( "-2x+66000=62400\r<BR>\n" );
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document.write( "-2x=62400-66000\r<BR>\n" );
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document.write( "-2x=-3600\r<BR>\n" );
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document.write( "x=1800\r<BR>\n" );
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document.write( "He invested $1,800 at 9%\r<BR>\n" );
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document.write( "y=6000-x\r<BR>\n" );
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document.write( "y=6000-1800\r<BR>\n" );
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document.write( "y=4200\r<BR>\n" );
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document.write( "He invested $4,200 at 11% </SPAN>\n" );
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