document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025086>Question 1025086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average mark  for  100  learners  in a  test is 39%. The average  mark  for  the  learners  who  passed is 60%, while the  average  mark  for  the  learners who failed is 30%. Compute  the  number  of  learners who  failed the test  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640374 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bp%5D+ ALIGN=MIDDLE  ALT=\"S%5Bp%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = sum of averages of the passes, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bf%5D+ ALIGN=MIDDLE  ALT=\"S%5Bf%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = sum of the averages of the failures.\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28S%5Bp%5D%2BS%5Bf%5D%29%2F100+=+0.39 ALIGN=MIDDLE  ALT=\"%28S%5Bp%5D%2BS%5Bf%5D%29%2F100+=+0.39\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bp%5D%2BS%5Bf%5D=+39 ALIGN=MIDDLE  ALT=\"S%5Bp%5D%2BS%5Bf%5D=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "Let x = number of passes, so that 100 - x = number of failures.\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bp%5D%2Fx+=+0.60 ALIGN=MIDDLE  ALT=\"S%5Bp%5D%2Fx+=+0.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bf%5D%2F%28100+-+x%29+=+0.30 ALIGN=MIDDLE  ALT=\"S%5Bf%5D%2F%28100+-+x%29+=+0.30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bp%5D=+0.60x ALIGN=MIDDLE  ALT=\"S%5Bp%5D=+0.60x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bf%5D=0.30%28100+-+x%29 ALIGN=MIDDLE  ALT=\"S%5Bf%5D=0.30%28100+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bp%5D+%2B+S%5Bf%5D=+0.60x+%2B+0.30%28100+-+x%29+=+39 ALIGN=MIDDLE  ALT=\"S%5Bp%5D+%2B+S%5Bf%5D=+0.60x+%2B+0.30%28100+-+x%29+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> x = 30, the number of passes, and \r<BR>\n" );
document.write( "\n" );
document.write( "100 - x = 70, the number of failures. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );