document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773098>Question 773098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a basketball game, 3/5 of the students who attended were seniors, 1/3 of the other students who attended were juniors, and the remaining 80 students who attended were all sophomores. How many seniors attended this game?<BR>\n" );
document.write( "A)120<BR>\n" );
document.write( "B)175<BR>\n" );
document.write( "C)180<BR>\n" );
document.write( "D)210<BR>\n" );
document.write( "E)300 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471316 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  At a basketball game, 3/5 of the students who attended were seniors,<BR>\n" );
document.write( " 1/3 of the other students who attended were juniors,<BR>\n" );
document.write( " and the remaining 80 students who attended were all sophomores.<BR>\n" );
document.write( " How many seniors attended this game?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = the total number of students<BR>\n" );
document.write( "if 3/5 were seniors, 2/5 were the other students<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x] + 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 80<BR>\n" );
document.write( "multiply by 15 to clear the denominators, resulting in<BR>\n" );
document.write( "15x - 3(3x) + 2x + 15(80)<BR>\n" );
document.write( "15x = 9x + 2x + 1200<BR>\n" );
document.write( "15x - 11x = 1200<BR>\n" );
document.write( "x = 1200/4<BR>\n" );
document.write( "x = 300 total students<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*300 = 180 seniors<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );