document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184038>Question 1184038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 unequal jugs are filled with diluted cordial with different concentrations. The<BR>\n" );
document.write( "first jug has cordial and water in the ratio 2:5 and the second jug has cordial and<BR>\n" );
document.write( "water in the ratio 3:7. The contents of the two jugs are then combined.<BR>\n" );
document.write( "If the second jug had twice the volume of diluted cordial compared to the first,<BR>\n" );
document.write( "what is the ratio of cordial to water in the final mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814578 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=814578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "----------------------------------------------------------------<br><BR>\n" );
document.write( "NOTE: The other tutor interpreted the phrase \"the second jug had twice the volume of diluted cordial compared to the first\" to mean the amount of ACTUAL cordial in the two jugs was in the ratio 1:2.  That is a possible interpretation; my solution below interprets that phrase to mean the amount of DILUTED CORDIAL -- i.e., the total amounts of mixture in the two jugs -- was in the ratio 1:2.<br><BR>\n" );
document.write( "----------------------------------------------------------------<br><BR>\n" );
document.write( "A 2:5 ratio of cordial to water in the first jug means 2/7 of that diluted cordial is cordial; a 3:7 ratio in the second jug means 3/10 of that diluted cordial is cordial.<br><BR>\n" );
document.write( "The volume of the diluted cordial in the second jug is twice the volume of the diluted cordial in the first, so when the contents are combined 2/3 of the mixture is from the second jug.  The fraction of cordial in the final mixture is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%283%2F10%29%2B%281%2F3%29%282%2F7%29+=+1%2F5%2B2%2F21+=+21%2F105%2B10%2F105+=+31%2F105 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The ratio of cordial to water in the mixture is then 31:(105-31) = 31:74.<br><BR>\n" );
document.write( "ANSWER: 31:74<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );