document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251501>Question 251501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the number of boys to the number of girls in a room is 5:7. When 24 more boys enter, the ratio is reversed. How many girls are in the room?\r<BR>\n" );
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document.write( "a) 29 b) 32 c) 35 d) 36 e) none of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183312 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=183312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of the number of boys to the number of girls in a room is 5:7.<BR>\n" );
document.write( "5:7 is the same as 5x:7x where 5x is the # of boys<BR>\n" );
document.write( "and 7x is the number of girls.<BR>\n" );
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document.write( "When 24 more boys enter, the ratio is reversed.<BR>\n" );
document.write( "# of boys = 5x+24<BR>\n" );
document.write( "# of girls is still 7x<BR>\n" );
document.write( "Ratio is 7:5<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(5x+24)/(7x) = 7/5<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "25x+120 = 49x<BR>\n" );
document.write( "24x = 120<BR>\n" );
document.write( "x = 5<BR>\n" );
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document.write( "How many girls are in the room?<BR>\n" );
document.write( "7x = 35 (# of girls in the room)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( "a) 29 b) 32 c) 35 d) 36 e) none of these </SPAN>\n" );
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