document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182840>Question 182840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A math test has two problems. The first was solved by 70% of the students. The second was solved by 60%. Every student solved at least one of the problems. Nine students solved both problems. How many students took 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 #137257 by </B><A HREF=/tutors/aboutme.mpl?userid=tvandenberg><B>tvandenberg(45)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tvandenberg><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=137257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> T = total number of student<BR>\n" );
document.write( "X = number of students that solved second problem<BR>\n" );
document.write( "Y = number of students that solved second problem\r<BR>\n" );
document.write( "\n" );
document.write( "X / T = 0.70 -->  X = 0.7 T<BR>\n" );
document.write( "Y / T = 0.60 -->  Y = 0.6 T\r<BR>\n" );
document.write( "\n" );
document.write( "X + Y - 9 = T (since 9 students are in both X and Y)\r<BR>\n" );
document.write( "\n" );
document.write( "0.7 T + 0.6 Y - 9 = T\r<BR>\n" );
document.write( "\n" );
document.write( "0.3T = 9\r<BR>\n" );
document.write( "\n" );
document.write( "T = 9 / 0.3 -->  T = 30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );