document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107977>Question 107977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok, here we go.\r<BR>\n" );
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document.write( "John and Harry can paint a house in 10 days. when working alone John can paint the house in 30 days. How many days will it take Harry to paint the house.\r<BR>\n" );
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document.write( "I have no idea how to do this probolem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78689 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=78689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John and Harry can paint a house in 10 days. when working alone John can paint the house in 30 days. How many days will it take Harry to paint the house. <BR>\n" );
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document.write( "Here's a method you can use on all these kind of problems<BR>\n" );
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document.write( "Let the completed = 1, each will do a fraction that will add up to 1<BR>\n" );
document.write( "It's obvious that John will complete 1/3 of the job in 10 days (10/30)<BR>\n" );
document.write( "Therefore John has to do 2/3 of the job. What denominator of 10 = 2/3?<BR>\n" );
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document.write( "Let x = Harry's time by himself<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx ALIGN=MIDDLE  ALT=\"10%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Get rid of the denominators, multiply equation by 30x<BR>\n" );
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document.write( "30x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 30x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx ALIGN=MIDDLE  ALT=\"10%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30x(1)<BR>\n" );
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document.write( "Cancel out the denominators and you have;<BR>\n" );
document.write( "10x + 30(10) = 30x<BR>\n" );
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document.write( "10x - 30x = -300<BR>\n" );
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document.write( "-20x = - 300<BR>\n" );
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document.write( "x = -300/-20<BR>\n" );
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document.write( "x = 15 days required by John by himself<BR>\n" );
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document.write( "Check the solution by adding up the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F15 ALIGN=MIDDLE  ALT=\"10%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<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;\" > + <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;\" > = 1<BR>\n" );
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document.write( "Did this make sense to you? Any questions?  </SPAN>\n" );
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