document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172785>Question 1172785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this problem in my textbook and I have been struggling to find a way to solve it, although it had been solved already on this website but I don't understand how the answer provider was able to solve it. Anyways here's the problem.\r<BR>\n" );
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document.write( " In a certain mathematics class, the part of the class that are members of the math club is 50% of<BR>\n" );
document.write( "the rest of that class. The total number of math club members in this class is what percent of the<BR>\n" );
document.write( "entire class?\r<BR>\n" );
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document.write( "Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797894 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's how it works, as far as i can see.<BR>\n" );
document.write( "let m = the number of members of the math club.<BR>\n" );
document.write( "let t = the number of member in the whole class.<BR>\n" );
document.write( "this includes the members of the math club as well as the members who are not in the math club.<BR>\n" );
document.write( "the number of members who are not in the math club are equal to t - m.<BR>\n" );
document.write( "you are told that the number of members of the math club are 50% of the members of the class that are not members of the math club.<BR>\n" );
document.write( "the equation for that would be:<BR>\n" );
document.write( "m = .50 * (t - m).<BR>\n" );
document.write( "simplify this equation to get:<BR>\n" );
document.write( "m = .50 * t - .50 * m<BR>\n" );
document.write( "add .50 * m to both sides of this equation to get:<BR>\n" );
document.write( "m + .50 * m = .50 * t<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "1.5 * m = .50 * t<BR>\n" );
document.write( "divide both sides of this equation by .5 to get:<BR>\n" );
document.write( "1.5 / .5  * m = t<BR>\n" );
document.write( "simplify  this to get:<BR>\n" );
document.write( "3 * m = t<BR>\n" );
document.write( "divide both sides to get:<BR>\n" );
document.write( "m = 1/3 * t<BR>\n" );
document.write( "that's your answer.<BR>\n" );
document.write( "to confirm, do the following.<BR>\n" );
document.write( "m = 1/3 * t<BR>\n" );
document.write( "this means that (t - m) = 2/3 * t<BR>\n" );
document.write( "m / (t - m) = (1/3) / (2/3) = 1/2 = .5<BR>\n" );
document.write( "this means that the number of members of the math club is 1/2 * the members of the class that are not members of the math club.\r<BR>\n" );
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document.write( "an example might help solidify understanding of the solution.<BR>\n" );
document.write( "suppose the total class had 120 members.<BR>\n" );
document.write( "assume that 2/3 of the class are not members of the math club.<BR>\n" );
document.write( "that makes 80 members of the class that are not members of the math club.<BR>\n" );
document.write( "that also makes 1/3 of the class that are members of the math club.<BR>\n" );
document.write( "1/3 * 120 = 40 members of the math club.<BR>\n" );
document.write( "you have 40 members of the class who are members of the math club and 80 members of the class who are not members of the math club.<BR>\n" );
document.write( "40/80 = .5 = .50<BR>\n" );
document.write( "the numbers of the class who are members of the math class is equal to 50% of the members of the class who are not members of the math class.\r<BR>\n" );
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document.write( "if you still have trouble understanding, let me know and i'll try harder.<BR>\n" );
document.write( "theo </SPAN>\n" );
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