document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601058>Question 601058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I would like some help with this algebra problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Valley Community college has 4000 students.Of these 1/8 are full time students.Of the full-time students,3/10 are in favor of having a socccer team.Of the students that are not full time, 4/5 are in favor of having a soccer team.How many students in school are not  in favor of having a soccer team? \r<BR>\n" );
document.write( "\n" );
document.write( "Do I have to multiply and then substract? I  am not sure. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379578 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=379578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/8 are full time. So 1 - 1/8 = 7/8 are not full time\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\"Of the full-time students,3/10 are in favor of having a socccer team\", which means that (1/8)*(3/10) = 3/80 of the total are full time and are in favor.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The fraction of those who are full time but are not in favor is: (1/8)*(1 - 3/10) = (1/8)*(7/10) = 7/80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\"Of the students that are not full time, 4/5 are in favor of having a soccer team\" means that (7/8)*(4/5) = 28/40 = 7/10 of the total are not full time and are in favor.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the fraction of the students who are not full time and not in favor is:  (7/8)*(1 - 4/5) = (7/8)*(1/5) = 7/40\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From above, we found the fractions of those who are not in favor for full time and non-full time students. These fractions were: 7/80 and 7/40\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add up these fractions to get: 7/80 + 7/40 = 7/80 + 14/80 = 21/80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the fraction of the total number of students that are not in favor is 21/80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We know that there are 4000 students. So multiply this by that last fraction:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4000*(21/80) = 84000/80 = 1050\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <font color=\"red\">1050</font> students are not in favor of having a soccer team. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );