document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120361>Question 120361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two men, A and B, can paint a house in 8 days. A alone can paint it in 12 days. How long will B take to paint the house by himself. \r<BR>\n" );
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document.write( "I am unsure on how to solve this. All I know is that there is some formula to this that involves many proportions. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88259 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two men, A and B, can paint a house in 8 days. A alone can paint it in 12 days. How long will B take to paint the house by himself. <BR>\n" );
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document.write( "Let B = time required by B to paint the house by himself<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A simple equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F12 ALIGN=MIDDLE  ALT=\"8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FB ALIGN=MIDDLE  ALT=\"8%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 12B to get rid of the denominators<BR>\n" );
document.write( "12B*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F12 ALIGN=MIDDLE  ALT=\"8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12B*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FB ALIGN=MIDDLE  ALT=\"8%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12B(1)<BR>\n" );
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document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "8B + 12(8) = 12B<BR>\n" );
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document.write( "8B + 96 = 12B<BR>\n" );
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document.write( "96 = 12B - 8B<BR>\n" );
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document.write( "96 = 4B<BR>\n" );
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document.write( "B = 96/4<BR>\n" );
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document.write( "B = 24 days <BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F12 ALIGN=MIDDLE  ALT=\"8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F24 ALIGN=MIDDLE  ALT=\"8%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; confirms our solution </SPAN>\n" );
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