document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971296>Question 971296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James, Ashley, and Nicole, all siblings visiting scene 75, have collectively won a total of 340 redemption prize points. Their mother, Kathy, decides how the points will be split amongst the three children. She says James and Ashley behaved very poorly today, though James behaved even worse than Ashley. Kathy asks you to split the points such that James receives 40 points fewer than Ashley and Ashley receives 80 points fewer than Nicole. How many points does each child receive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593831 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=593831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+%2B+a+%2B+n+=+340+ ALIGN=MIDDLE  ALT=\"+j+%2B+a+%2B+n+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+a+-+40+ ALIGN=MIDDLE  ALT=\"+j+=+a+-+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+n+-+80+ ALIGN=MIDDLE  ALT=\"+a+=+n+-+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+n+-+80+ ALIGN=MIDDLE  ALT=\"+a+=+n+-+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+a+%2B+80+ ALIGN=MIDDLE  ALT=\"+n+=+a+%2B+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Substitute (2) and (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+%2B+a+%2B+n+=+340+ ALIGN=MIDDLE  ALT=\"+j+%2B+a+%2B+n+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+40+%2B+a+%2B+a+%2B+80+=+340+ ALIGN=MIDDLE  ALT=\"+a+-+40+%2B+a+%2B+a+%2B+80+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+40+=+340+ ALIGN=MIDDLE  ALT=\"+3a+%2B+40+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+=+300+ ALIGN=MIDDLE  ALT=\"+3a+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+100+ ALIGN=MIDDLE  ALT=\"+a+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+a+-+40+ ALIGN=MIDDLE  ALT=\"+j+=+a+-+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+100+-+40+ ALIGN=MIDDLE  ALT=\"+j+=+100+-+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+60+ ALIGN=MIDDLE  ALT=\"+j+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+a+%2B+80+ ALIGN=MIDDLE  ALT=\"+n+=+a+%2B+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+100+%2B+80+ ALIGN=MIDDLE  ALT=\"+n+=+100+%2B+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+180+ ALIGN=MIDDLE  ALT=\"+n+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "James gets 60<BR>\n" );
document.write( "Ashley gets 100<BR>\n" );
document.write( "Nicole gets 180<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+%2B+a+%2B+n+=+340+ ALIGN=MIDDLE  ALT=\"+j+%2B+a+%2B+n+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+%2B+100+%2B+180+=+340+ ALIGN=MIDDLE  ALT=\"+60+%2B+100+%2B+180+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+340+=+340+ ALIGN=MIDDLE  ALT=\"+340+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );