document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269207>Question 269207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this math problem and can't figure it out and I was wondering if someone could help me? Please and Thank you! I would deeply appreciate it!\r<BR>\n" );
document.write( "\n" );
document.write( "Points B and C lie on AD. Find AC if AB/BD=3/4 and AC/CD=5/6 and BD=66. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197302 by </B><A HREF=/tutors/aboutme.mpl?userid=suhasbhat><B>suhasbhat(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=suhasbhat><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=197302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume line and points as shown A-------B-----C--------D<BR>\n" );
document.write( "AB/BD = 3/4.<BR>\n" );
document.write( "BD = (3/4)(AB)<BR>\n" );
document.write( "But BD = 66. Therefore AB = (3/4)(BD) => AB = (3/4)*66 => AB = 99/2<BR>\n" );
document.write( "Hence total length AD = AB+BD = (99/2)+ 66. => AD = 231/2.<BR>\n" );
document.write( "But AD = AC+CD. => AC+CD = AD => AC + CD = 231/2.<BR>\n" );
document.write( "But AC/CD = 5/6. => AC = (5/6)(CD). Now we substtute value of AC.\r<BR>\n" );
document.write( "\n" );
document.write( "(5/6)CD + CD = 231/2.<BR>\n" );
document.write( "Therefore CD = 693/11.<BR>\n" );
document.write( "And AC = (5/6)CD.<BR>\n" );
document.write( "AC = (5/6)* (693/11).<BR>\n" );
document.write( "I hope you get the idea. Check the calculations. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );