document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183921>Question 1183921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a:b=2:5 and a:c=3:7. What is c:b?<BR>\n" );
document.write( "A. 5:7<BR>\n" );
document.write( "B. 14:15<BR>\n" );
document.write( "C. 2:7<BR>\n" );
document.write( "D. 15:14<BR>\n" );
document.write( "E. 7:5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814435 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=814435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I would solve this problem by a very different method from the similar ones used by the other two tutors; I have a particular dislike for that \"product of the means equals product of the extremes\" rule, since it introduces unneeded new vocabulary.<br><BR>\n" );
document.write( "Given the ratio of a:b and the ratio of a:c, and needing to find the ratio c:b, I would rewrite the second ratio as c:a; then I would \"eliminate the middle man\" in the ratios c:a and a:b.<br><BR>\n" );
document.write( "c:a = 7:3<BR>\n" );
document.write( "a:b = 2:5<br><BR>\n" );
document.write( "rewrite each ratio as an equivalent ratio using the same number for a in both:<br><BR>\n" );
document.write( "c:a = 14:6<BR>\n" );
document.write( "a:b = 6:15<br><BR>\n" );
document.write( "Combine them into a ratio comparing all three numbers...<br><BR>\n" );
document.write( "c:a:b = 14:6:15<br><BR>\n" );
document.write( "and eliminate the middle man:<br><BR>\n" );
document.write( "c:a = 14:15<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );