document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347842>Question 347842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given that a:b=3:1 and b:c=2:3,find the ratio of a:c?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248697 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=248697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since a:b=3:1, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb=3%2F1 ALIGN=MIDDLE  ALT=\"a%2Fb=3%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Cross multiply to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3b ALIGN=MIDDLE  ALT=\"a=3b\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then solve for 'b' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=a%2F3 ALIGN=MIDDLE  ALT=\"b=a%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In addition, we know that b:c=2:3 which tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fc=2%2F3 ALIGN=MIDDLE  ALT=\"b%2Fc=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We can then plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=a%2F3 ALIGN=MIDDLE  ALT=\"b=a%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2F3%29%2Fc=2%2F3 ALIGN=MIDDLE  ALT=\"%28a%2F3%29%2Fc=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. From here, simplify the equation and get it into the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fc=k%2Fm ALIGN=MIDDLE  ALT=\"a%2Fc=k%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > where 'k' and 'm' are some expressions. I'll let you take it from here. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );