document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295603>Question 295603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 3/4 of a class is absent and 2/3 of those present leave the room. What fraction of the original class remains in the room? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213019 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=213019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"If 3/4 of a class is absent\", then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-3%2F4=4%2F4-3%2F4=%284-3%29%2F4=1%2F4 ALIGN=MIDDLE  ALT=\"1-3%2F4=4%2F4-3%2F4=%284-3%29%2F4=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the class is present. Now since \"2/3 of those present leave the room\", this means that 1/3 of those present remain in the room. So simply multiply <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;\" > by <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;\" > to get the number of the people who remain the room. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%281%2F3%29=%281%2A1%29%2F%284%2A3%29=1%2F12 ALIGN=MIDDLE  ALT=\"%281%2F4%29%281%2F3%29=%281%2A1%29%2F%284%2A3%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the original class remains in the room. \r<BR>\n" );
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document.write( "Here's a concrete example: Say there are 600 kids. Now if \"If 3/4 of a class is absent\", then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%283%2F4%29=450 ALIGN=MIDDLE  ALT=\"600%283%2F4%29=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > kids are absent and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600-450=150 ALIGN=MIDDLE  ALT=\"600-450=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > are present (in the beginning)\r<BR>\n" );
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document.write( "Now because \"2/3 of those present leave the room\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%282%2F3%29=100 ALIGN=MIDDLE  ALT=\"150%282%2F3%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > kids leave the room. Because 150 kids showed up originally, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150-100=50 ALIGN=MIDDLE  ALT=\"150-100=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > kids remain. Now just compute the ratio of the remaining 50 students to the total of 600 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F600=1%2F12 ALIGN=MIDDLE  ALT=\"50%2F600=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the fraction we originally found. So this example supports our answer.  </SPAN>\n" );
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