document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784739>Question 784739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when one&#8722; fourth of a number is added to one-seventh of the number&#719; the sum is 22 what is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477373 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> MY WAY:<BR>\n" );
document.write( "Obviously the number is a positive integer divisible by 4 and 7, so it's divisible by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A7=28 ALIGN=MIDDLE  ALT=\"4%2A7=28\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "I can write the number as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k ALIGN=MIDDLE  ALT=\"28k\"   DISABLED_style= \"max-width:90%; height:auto;\" >, knowing that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a natural number (positivw integer).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k ALIGN=MIDDLE  ALT=\"28k\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k%2F4=7k ALIGN=MIDDLE  ALT=\"28k%2F4=7k\"   DISABLED_style= \"max-width:90%; height:auto;\" >= one-fourth of the number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k%2F7=4k ALIGN=MIDDLE  ALT=\"28k%2F7=4k\"   DISABLED_style= \"max-width:90%; height:auto;\" >= one-seventh of the number<BR>\n" );
document.write( "What the problem says in words is translated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k%2F4%2B28k%2F7=22 ALIGN=MIDDLE  ALT=\"28k%2F4%2B28k%2F7=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7k%2B4k=22 ALIGN=MIDDLE  ALT=\"7k%2B4k=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k%2F4%2B28k%2F7=22 ALIGN=MIDDLE  ALT=\"28k%2F4%2B28k%2F7=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7k%2B4k=22 ALIGN=MIDDLE  ALT=\"7k%2B4k=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11k=22 ALIGN=MIDDLE  ALT=\"11k=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=2 ALIGN=MIDDLE  ALT=\"k=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k=2%2A28 ALIGN=MIDDLE  ALT=\"28k=2%2A28\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28k=highlight%2856%29 ALIGN=MIDDLE  ALT=\"28k=highlight%2856%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If I do not have to explain my thinking, or \"show my work\", that is a fast way to solve the problem, and may help save time in a multiple choice test.<BR>\n" );
document.write( " <BR>\n" );
document.write( "A MORE TRADITIONAL WAY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number<BR>\n" );
document.write( "What the problem says in words is translated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F4%2BN%2F7=22 ALIGN=MIDDLE  ALT=\"N%2F4%2BN%2F7=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We multiply both sides times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A7=28 ALIGN=MIDDLE  ALT=\"4%2A7=28\"   DISABLED_style= \"max-width:90%; height:auto;\" > to eliminate denominators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%28N%2F4%2BN%2F7%29=28%2A22 ALIGN=MIDDLE  ALT=\"28%28N%2F4%2BN%2F7%29=28%2A22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28N%2F4%2B28N%2F7=618 ALIGN=MIDDLE  ALT=\"28N%2F4%2B28N%2F7=618\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7N%2B4N=618 ALIGN=MIDDLE  ALT=\"7N%2B4N=618\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11N=618 ALIGN=MIDDLE  ALT=\"11N=618\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11N%2F11=618%2F11 ALIGN=MIDDLE  ALT=\"11N%2F11=618%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=highlight%2856%29 ALIGN=MIDDLE  ALT=\"N=highlight%2856%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );