document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5093>Question 5093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours and John can paint the house in 6 hours. How long will it take them to paint the house together?  \r<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 #2573 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint the house in 4 hours, then the part she can do in 1 hour is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If John can paint the house in 6 hours, then the part he can do in 1 hour is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let x = the number of hours it takes them to paint the house together.\r<BR>\n" );
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document.write( "If together they can paint the house in \"x\" hours, then in 1 hour they can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house.\r<BR>\n" );
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document.write( "The equation is \"The part Sally can paint in 1 hour + the part that John can paint in 1 hour equals the part they can paint together in 1 hour.\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+%2B+1%2F6+=+1%2Fx ALIGN=MIDDLE  ALT=\"1%2F4+%2B+1%2F6+=+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides of the equation by the least common denominator which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x ALIGN=MIDDLE  ALT=\"12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%29%2A%281%2F4%29+%2B+%2812x%29%2A%281%2F6+%29=+%2812x%29%2A%281%2Fx%29+ ALIGN=MIDDLE  ALT=\"%2812x%29%2A%281%2F4%29+%2B+%2812x%29%2A%281%2F6+%29=+%2812x%29%2A%281%2Fx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+2x+=+12 ALIGN=MIDDLE  ALT=\"3x+%2B+2x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=+12 ALIGN=MIDDLE  ALT=\"5x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+12%2F5 ALIGN=MIDDLE  ALT=\"x=+12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours or 2.4 hours.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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