document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254472>Question 254472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The membership ratio of adults to minors at the Racquet Club is 3:2. A<BR>\n" );
document.write( "membership drive was held and 150 minors joined the club. The new ratio of<BR>\n" );
document.write( "adults to minors is now 2:3. Determine the new total membership of the Racquet<BR>\n" );
document.write( "Club. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186829 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The membership ratio of adults to minors at the Racquet Club is 3:2.<BR>\n" );
document.write( "A membership drive was held and 150 minors joined the club.<BR>\n" );
document.write( " The new ratio of adults to minors is now 2:3. <BR>\n" );
document.write( "Determine the new total membership of the Racquet Club.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3x = original no. of adults<BR>\n" );
document.write( "2x = original no. of minors<BR>\n" );
document.write( ":<BR>\n" );
document.write( "New ratio with 150 more minors:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%28%282x%2B150%29%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28%282x%2B150%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "3(3x) = 2(2x+ 150)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "9x = 4x + 300<BR>\n" );
document.write( ":<BR>\n" );
document.write( "9x - 4x = 300<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F5 ALIGN=MIDDLE  ALT=\"300%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 60 is the multiplier<BR>\n" );
document.write( ":<BR>\n" );
document.write( "New membership<BR>\n" );
document.write( "3 * 60 = 180 adults<BR>\n" );
document.write( "2*60 + 150 = 270 minors<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Total mem: 450 member now<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( "180/270 = 2/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );