document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950897>Question 950897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andre and Eric have a home improvement business. They get a job to paint the living room of mrs. Jones. Andre can paint a room in 4 hours and Eric can paint a room in 12 hours. They decide to paint a room together to save time. How long does it take for the two of them to paint the room? <BR>\n" );
document.write( "Okay so far I got in an hour Andre can do the work in 1/4 the time and in a hour Eric can do 1/12 the time so I made and equation that x=the time to paint the living room and got the equation 1/4x+1/12x=1 so I found the lcd and got 3 hours but I think I have done this all wrong so can you please help me!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580690 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=580690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Andre and Eric have a home improvement business.<BR>\n" );
document.write( " They get a job to paint the living room of mrs. Jones.<BR>\n" );
document.write( " Andre can paint a room in 4 hours and Eric can paint a room in 12 hours.<BR>\n" );
document.write( " They decide to paint a room together to save time. How long does it take for the two of them to paint the room?<BR>\n" );
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document.write( "You are right, but here is an easy understandable way to do these \"shared work\" problems<BR>\n" );
document.write( "let t = time required when they work together<BR>\n" );
document.write( "let the completed job = 1 (a painted room)<BR>\n" );
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document.write( "Each will do a fraction of the job, the two fractions add up to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by a common multiple of the denominator<BR>\n" );
document.write( "12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "3t + t = 12<BR>\n" );
document.write( "4t = 12<BR>\n" );
document.write( "t = 12/4<BR>\n" );
document.write( "t = 3 hrs when working together<BR>\n" );
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document.write( "See if the two fraction in fact add up to 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 1 </SPAN>\n" );
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