document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309853>Question 309853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Commuting students. At a well-known university, <BR>\n" );
document.write( "¼ of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate<BR>\n" );
document.write( "students, then what fraction of the commuters drive more<BR>\n" );
document.write( "than 40 miles daily?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221678 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=221678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Commuting students. At a well-known university,<BR>\n" );
document.write( "¼ of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate<BR>\n" );
document.write( "students, then what fraction of the commuters drive more<BR>\n" );
document.write( "than 40 miles daily?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's use a convenient number for the total students: 720 has a lot of factors<BR>\n" );
document.write( ":<BR>\n" );
document.write( "It says,\"there are twice as many undergrads as there are grad students,\"<BR>\n" );
document.write( "That would give us us 480 undergrads, and 240 grads<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1/4 of the undergraduates commute; <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 480 = 120 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "1/3 of the graduates commute.<BR>\n" );
document.write( "<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;\" > * 240 = 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1/10 of the undergraduates drive more than 40 miles daily<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F10 ALIGN=MIDDLE  ALT=\"1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 480 = 48<BR>\n" );
document.write( ": <BR>\n" );
document.write( "1/6 of the graduates drive more than 40 miles daily.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 240 = 40<BR>\n" );
document.write( ":<BR>\n" );
document.write( "what fraction of the commuters drive more than 40 miles daily?<BR>\n" );
document.write( "Total commuters: 120 + 80 = 200 <BR>\n" );
document.write( "Total commuters drive more than 40 mi: 48 + 40 = 88<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Then: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88%2F200 ALIGN=MIDDLE  ALT=\"88%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F25 ALIGN=MIDDLE  ALT=\"11%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the commuters commute over 40 mi<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );