document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102218>Question 102218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student has a total of 244 points from 3 tests. The first test score was 20 more than the second test score. The sum of the second and third test scores was 60 points more than the first test score. Find each test score. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74277 by </B><A HREF=/tutors/aboutme.mpl?userid=mathemanic><B>mathemanic(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathemanic><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=74277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the first test score is x, second is y, and third is z.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+%2B+z+=+244+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+%2B+z+=+244+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... (1) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+%2B+y+ ALIGN=MIDDLE  ALT=\"+x+=+20+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+z+=+60+%2B+x+ ALIGN=MIDDLE  ALT=\"+y+%2B+z+=+60+%2B+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... (3)\r<BR>\n" );
document.write( "\n" );
document.write( "Suppose you substitute x from (2) into (3),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+z+=+60+%2B+%2820+%2B+y%29+ ALIGN=MIDDLE  ALT=\"+y+%2B+z+=+60+%2B+%2820+%2B+y%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+z+=+60+%2B+20+%2B+y+ ALIGN=MIDDLE  ALT=\"+y+%2B+z+=+60+%2B+20+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+80+ ALIGN=MIDDLE  ALT=\"+z+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "therefore, (1) will become:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+%2B+80+=+244+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+%2B+80+=+244+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+164+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+164+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substituting x from (2) into this equation gives:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2820+%2B+y%29+%2B+y+=+164+ ALIGN=MIDDLE  ALT=\"+%2820+%2B+y%29+%2B+y+=+164+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+144+ ALIGN=MIDDLE  ALT=\"+2y+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+72+ ALIGN=MIDDLE  ALT=\"+y+=+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and therefore we get value of x from (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+%2B+72+ ALIGN=MIDDLE  ALT=\"+x+=+20+%2B+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+92+ ALIGN=MIDDLE  ALT=\"+x+=+92+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, the student's test scores were 92, 72, and 80.\r<BR>\n" );
document.write( "\n" );
document.write( "Hope that helps :) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );