document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251978>Question 251978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of females to males in class is 7 to 4. If 3 females and 12 males are absent tomorrow, the ratio of females to males becomes 5 to 2. If this occurs, how many students will be in class tomorrow ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183726 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=initial number of students<BR>\n" );
document.write( "Number of females=(7/11)x<BR>\n" );
document.write( "Number of males=(4/11)x<BR>\n" );
document.write( "If 3 females are absent tomorrow, we will have (7/11)x-3 females remaining<BR>\n" );
document.write( "If 12 males are absent tomorrow, we will have (4/11)x-12 males remaining<BR>\n" );
document.write( "so, (7/11)x-3=(5/7)(x-15) and/or (BOTH SHOULD GIVE THE SAME ANSWER)<BR>\n" );
document.write( "(4/11)x-12=(2/7)(x-15)<BR>\n" );
document.write( "Multiply the first equation by 77<BR>\n" );
document.write( "49x-231=55x-825  subtract 55x from and add 231 to each side<BR>\n" );
document.write( "49x-55x=-825+231<BR>\n" );
document.write( "-6x=-594<BR>\n" );
document.write( "x=99---number of students in the initial class<BR>\n" );
document.write( "x-15=99-15=84  #students in class tomorrow--------------------ANSWER\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );