document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541266>Question 541266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roger, Sue, and Tim have $155 among them. Roger has $5 more than Sue and Tim together. If Sue gives Time $5 he will have twice as much as she does. How much does each have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354823 by </B><A HREF=/tutors/aboutme.mpl?userid=jpg7n16><B>jpg7n16(66)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jpg7n16><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here you are solving for 3 different variables. I'd suggest solving for 1 variable and substituting back in to the problem. Let's start with turning the words into equations:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"Roger, Sue, and Tim have $155 among them.\"<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Bs%2Bt=155 ALIGN=MIDDLE  ALT=\"r%2Bs%2Bt=155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"Roger has $5 more than Sue and Tim together.\"<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=s%2Bt%2B5 ALIGN=MIDDLE  ALT=\"r=s%2Bt%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"If Sue gives Time $5 he will have twice as much as she does.\"<BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28s-5%29=%28t%2B5%29 ALIGN=MIDDLE  ALT=\"2%2A%28s-5%29=%28t%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"How much does each have?\"<BR>\n" );
document.write( "Now it's time to solve.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The way to substitute, is to say either r= or s= or t= something, and replace a variable with that \"something\" in another problem. Fortunately, equation 2 already has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=s%2Bt%2B5 ALIGN=MIDDLE  ALT=\"r=s%2Bt%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that's where we'll start. Plug that back into #1 in place of R.<BR>\n" );
document.write( "1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Bs%2Bt=155 ALIGN=MIDDLE  ALT=\"r%2Bs%2Bt=155\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2Bt%2B5%29%2Bs%2Bt=155 ALIGN=MIDDLE  ALT=\"%28s%2Bt%2B5%29%2Bs%2Bt=155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s%2B2t=150 ALIGN=MIDDLE  ALT=\"2s%2B2t=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Bt=75 ALIGN=MIDDLE  ALT=\"s%2Bt=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And we can't really reduce further.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let's also make #3 easier to read.<BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28s-5%29=t%2B5 ALIGN=MIDDLE  ALT=\"2%2A%28s-5%29=t%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s-10=t%2B5 ALIGN=MIDDLE  ALT=\"2s-10=t%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2s-15 ALIGN=MIDDLE  ALT=\"t=2s-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now we know what T \"equals\" so we can plug that into our simplifed #1 and solve for S.<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Bt=75 ALIGN=MIDDLE  ALT=\"s%2Bt=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2B%282s-15%29=75 ALIGN=MIDDLE  ALT=\"s%2B%282s-15%29=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s-15=75 ALIGN=MIDDLE  ALT=\"3s-15=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s=90 ALIGN=MIDDLE  ALT=\"3s=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=30 ALIGN=MIDDLE  ALT=\"s=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now that we know what S equals, we can easily solve for R and T. Plug 30 in for S in the following equation.<BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2s-15 ALIGN=MIDDLE  ALT=\"t=2s-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once you figure out what T is, you can solve<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=s%2Bt%2B5 ALIGN=MIDDLE  ALT=\"r=s%2Bt%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you can check your answer with<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Bs%2Bt=155 ALIGN=MIDDLE  ALT=\"r%2Bs%2Bt=155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this helps! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );