document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180012>Question 180012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only two lettered in all sports, how many students lettered in two of the three sports? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134943 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=134943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total number of letters awarded is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26+%2B+15+%2B+16+=+57 ALIGN=MIDDLE  ALT=\"26+%2B+15+%2B+16+=+57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The number of students who got letters is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46 ALIGN=MIDDLE  ALT=\"46\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 students lettered in all three sports<BR>\n" );
document.write( "I can say<BR>\n" );
document.write( "student #1 has a swim, soccer, crew letter<BR>\n" );
document.write( "student #2 has a swim, soccer, crew letter<BR>\n" );
document.write( "That's 6 letters used up by 2 students<BR>\n" );
document.write( "There are:<BR>\n" );
document.write( "24 crew<BR>\n" );
document.write( "14 soccer<BR>\n" );
document.write( "13 swimming<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "51 letters left for 44 students<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51+-+44+=+7 ALIGN=MIDDLE  ALT=\"51+-+44+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > letters are left over that must<BR>\n" );
document.write( "be letters given to students that already have<BR>\n" );
document.write( "a letter.<BR>\n" );
document.write( "These 7 extra letters must be given to 7 students<BR>\n" );
document.write( "because none of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44 ALIGN=MIDDLE  ALT=\"44\"   DISABLED_style= \"max-width:90%; height:auto;\" > students has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > letters,<BR>\n" );
document.write( "So, 37 students got 1 letter, 7 got 2 letters, and 2 got 3 letters<BR>\n" );
document.write( "7 students lettered in 2 of the 3 sports -answer<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );