document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117619>Question 1117619</A>: <I><SPAN STYLE=\"word-break: break-all;\">   If the same number is added to both the numerator and the denominator of the amount of butter use in the following recipe for toffee the result is the amount of brown sugar to be find a number <BR>\n" );
document.write( "2/3 pecans<BR>\n" );
document.write( "3/4 cup brown sugar<BR>\n" );
document.write( "1/2 package (6-oz size) <BR>\n" );
document.write( "1/4 cup butter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732752 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13219)</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=732752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I have no idea what the other tutor's response means.  Either I or that tutor has misread the problem....<br><BR>\n" );
document.write( "We want a number x for which<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%29%2F%284%2Bx%29+=+3%2F4 ALIGN=MIDDLE  ALT=\"%281%2Bx%29%2F%284%2Bx%29+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A solution using algebra is a good exercise in the methods of algebra:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%281%2Bx%29+=+3%284%2Bx%29 ALIGN=MIDDLE  ALT=\"4%281%2Bx%29+=+3%284%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B4+=+3x%2B12 ALIGN=MIDDLE  ALT=\"4x%2B4+=+3x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8 ALIGN=MIDDLE  ALT=\"x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "But probably the fastest way to an answer, if an algebraic solution is not necessary, is to look at fractions equivalent to 3/4 and find one which is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%29%2F%284%2Bx%29 ALIGN=MIDDLE  ALT=\"%281%2Bx%29%2F%284%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8+=+%281%2B5%29%2F%284%2B4%29 ALIGN=MIDDLE  ALT=\"6%2F8+=+%281%2B5%29%2F%284%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > no...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F12+=+%281%2B8%29%2F%284%2B8%29 ALIGN=MIDDLE  ALT=\"9%2F12+=+%281%2B8%29%2F%284%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > YES!!<br><BR>\n" );
document.write( "Solving problems informally using logical reasoning is always good mental exercise! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );