document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197952>Question 1197952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "3/4 of the boys are equal to 1/3 of the girls. What fraction of the pupils are boys. My son son 9/13 textbook solution  is 4/13. Who is correct. <BR>\n" );
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 #831430 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "For a preliminary analysis using logical reasoning, note that it takes nearly all of the boys to equal less than half of the girls; that means the number of girls is greater.<br><BR>\n" );
document.write( "The other tutor showed a good algebraic solution.  Here is a very different solution, using only logical reasoning and basic arithmetic.<br><BR>\n" );
document.write( "Since 3/4 of the number of boys is equal to 1/3 the number of girls, this is one of those strange problems where we want to express those two fractions with like NUMERATORS.<br><BR>\n" );
document.write( "1/3 = 3/9, so 3/4 of the boys is equal to 3/9 of the girls.  Then, with the numerators being equal, that says that there are 4 boys for every 9 girls.<br><BR>\n" );
document.write( "So 4/13 of the students are boys and 9/13 of them are girls.<br><BR>\n" );
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