document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653878>Question 653878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andrew can paint the neighbors house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 9 days. How long would it take each to paint the house? \r<BR>\n" );
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document.write( "Answer\r<BR>\n" );
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document.write( "Andrew: 10 4/5<BR>\n" );
document.write( "Bailey 54 days<BR>\n" );
document.write( "But how?\r<BR>\n" );
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document.write( "If I read this right my formula should be: <BR>\n" );
document.write( "	R	T	Equation<BR>\n" );
document.write( "Andrew	1/x	9	9 1/x\r<BR>\n" );
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document.write( "Baily	1/5x	9	9 1/5x\r<BR>\n" );
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document.write( "9/x+1/5x=1 \r<BR>\n" );
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document.write( "Now I’m lost LCD should be x+5X?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408531 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Try this thought process.\r<BR>\n" );
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document.write( "If it takes A <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> days to paint the house, then A can paint <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{x}\"> of the house in 1 day.\r<BR>\n" );
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document.write( "If it takes B five times as long, then it takes B <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5x\"> days, so he can paint <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{5x}\"> of the house in 1 day.\r<BR>\n" );
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document.write( "Since working together they can paint the whole house in 9 days, together they can paint <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{9}\"> of the house in one day.\r<BR>\n" );
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document.write( "Putting that all together, A's <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{x}\">th of a house plus B's <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{5x}\">th of a house must add up to their together <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{9}\">th of a house:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{x}\ +\ \frac{1}{5x}\ =\ \frac{1}{9}\">\r<BR>\n" );
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document.write( "The LCD on the right needs one factor of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> and one factor of 5, so it is simply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5}{5x}\ +\ \frac{1}{5x}\ =\ \frac{6}{5x}\">\r<BR>\n" );
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document.write( "Hence\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6}{5x}\ =\ \frac{1}{9}\">\r<BR>\n" );
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document.write( "Cross-multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5x\ =\ 54\">\r<BR>\n" );
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document.write( "So you know right off that B needs 54 days, and then A needs 54 divided by 5 or 10.8 which is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 10\frac{4}{5}\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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