document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316167>Question 316167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a class of fewer than 30 students, two received a \"B\" on a math test, 1/7 of the class received a \"C\", 1/2 received a \"D\", and 1/4 of the class failed the exam. how many students received an \"A\"  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226250 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we know that there must be 28 students in the class. This is because we know a grade received by 1/7 of the class, so the number of students must be divisible by 7. We also know the grade received by 1/4 and 1/2 of the class, so the number must be divisible by 4 and by 2. 28 is the only number less than 30 divisible by both 4 and 7. Feel free to check this. \r<BR>\n" );
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document.write( "2 people got Bs. <BR>\n" );
document.write( "1/7, that is 4 people, got Cs. <BR>\n" );
document.write( "1/2, that is 14 people, got Ds. <BR>\n" );
document.write( "1/4, that is 7 people, got Fs. \r<BR>\n" );
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document.write( "We know what grade was received by (2+4+14+7) = 27 people. This means that there is one person left to get the A.  </SPAN>\n" );
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