document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401917>Question 401917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph system : In order ofr Martia and Peggy to compete against each other during the swimming season next year they need to be in the same weight category.  Martia weighs 180 and plans to gain 2 lbs per week.  Peggy weighs 250lbs and plan to lose 1 pounds per week. In which week will they weigh the same.<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 #284377 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key is that when they both hit the same weight, they both<BR>\n" );
document.write( "will have been gaining and losing for the same number of weeks<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = that number of weeks<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+%2B+2%2Aw+=+250+-+1%2Aw ALIGN=MIDDLE  ALT=\"180+%2B+2%2Aw+=+250+-+1%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w+=+70 ALIGN=MIDDLE  ALT=\"3w+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+23.333 ALIGN=MIDDLE  ALT=\"w+=+23.333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1/3 of the way through the 24th week they will weigh the same<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "In 23.333 weeks, Martia will weigh <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+%2B+2%2A23.333+=+226.67 ALIGN=MIDDLE  ALT=\"180+%2B+2%2A23.333+=+226.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 23.333 weeks, Peggy will weigh <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250+-+1%2A23.333+=++226.67 ALIGN=MIDDLE  ALT=\"250+-+1%2A23.333+=++226.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );