document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496727>Question 496727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours.  When only George and Mario work together, it takes 8 hours to paint the room.  Tom and George, working together, take 6 hours to paint the room.  How long would it take Tom to paint the room alone?  <BR>\n" );
document.write( "a. 8 hours c. 3 hours <BR>\n" );
document.write( "b. 23 hours d. 4 hours <BR>\n" );
document.write( "   <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336666 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=336666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours.<BR>\n" );
document.write( "  When only George and Mario work together, it takes 8 hours to paint the room.<BR>\n" );
document.write( "  Tom and George, working together, take 6 hours to paint the room.<BR>\n" );
document.write( "  How long would it take Tom to paint the room alone? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1, (a painted room)<BR>\n" );
document.write( "Let t = To alone<BR>\n" );
document.write( "let g = George alone<BR>\n" );
document.write( "let m = Mario alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a shared work equation for each statement:<BR>\n" );
document.write( ":<BR>\n" );
document.write( " \"Tom, George and Mario work together, they can paint a room in 4 hours.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fg ALIGN=MIDDLE  ALT=\"4%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fm%29 ALIGN=MIDDLE  ALT=\"4%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"When only George and Mario work together, it takes 8 hours to paint the room.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fg ALIGN=MIDDLE  ALT=\"8%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fm%29 ALIGN=MIDDLE  ALT=\"8%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Tom and George, working together, take 6 hours to paint the room.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ft ALIGN=MIDDLE  ALT=\"6%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fg%29 ALIGN=MIDDLE  ALT=\"6%2Fg%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination here, multiply the 1st equation by 6, the 2nd equation by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ft ALIGN=MIDDLE  ALT=\"24%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fg ALIGN=MIDDLE  ALT=\"24%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fm%29 ALIGN=MIDDLE  ALT=\"24%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Ft ALIGN=MIDDLE  ALT=\"0%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fg ALIGN=MIDDLE  ALT=\"24%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fm%29 ALIGN=MIDDLE  ALT=\"24%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "-------------------------------------------subtraction eliminates g and m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ft ALIGN=MIDDLE  ALT=\"24%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 0 + 0 = 3<BR>\n" );
document.write( "3t = 24<BR>\n" );
document.write( "t = 24/3<BR>\n" );
document.write( "t = 8 hrs for Tom working alone<BR>\n" );
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