document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055619>Question 1055619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One-fourth of a number is<BR>\n" );
document.write( "greater than one-fifth of the number<BR>\n" );
document.write( "succeeding it by 1. Find the number.<BR>\n" );
document.write( "a) 24 b) 42 c) 36 d) 48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670793 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=670793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difficulty is in understanding what the wording of the problem means.<BR>\n" );
document.write( "Since it is a multiple choice question, once you understand what it means,<BR>\n" );
document.write( "all you need to know is basic arithmetic, and trial and error.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ARITHMETIC:<BR>\n" );
document.write( "Trying to see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the answer:<BR>\n" );
document.write( "One-fourth of 24 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (24 divided by 4).<BR>\n" );
document.write( "The number succeeding it (the number after 24) is 25.<BR>\n" );
document.write( "One-fifth of 25 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (25 divided by 5).<BR>\n" );
document.write( "Is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by 1?<BR>\n" );
document.write( "Let's see,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5=1 ALIGN=MIDDLE  ALT=\"6-5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is indeed greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by one,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824%29 ALIGN=MIDDLE  ALT=\"highlight%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a possible solution to the problem.<BR>\n" );
document.write( "It must be THE one and only solution,<BR>\n" );
document.write( "because we had to choose one of the four choices given.<BR>\n" );
document.write( "We do not need to try the other choices.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "THE ALGEBRA 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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B1 ALIGN=MIDDLE  ALT=\"n%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number succeeding it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F4 ALIGN=MIDDLE  ALT=\"n%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >= one-fourth of the number<BR>\n" );
document.write( "The wording means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F4 ALIGN=MIDDLE  ALT=\"n%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > more than<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B1%29%2F5 ALIGN=MIDDLE  ALT=\"%28n%2B1%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F4=%28n%2B1%29%2F5%2B1 ALIGN=MIDDLE  ALT=\"n%2F4=%28n%2B1%29%2F5%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To get rid of denominators,<BR>\n" );
document.write( "we could multiply both sides of the equal sign times 4 and times 5,<BR>\n" );
document.write( "or we could just multiply both sides time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5=20 ALIGN=MIDDLE  ALT=\"4%2A5=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > in a single step.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A%28n%2F4%29=20%2A%28%28n%2B1%29%2F5%2B1%29 ALIGN=MIDDLE  ALT=\"20%2A%28n%2F4%29=20%2A%28%28n%2B1%29%2F5%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20n%2F4=20%28n%2B1%29%2F5%2B20 ALIGN=MIDDLE  ALT=\"20n%2F4=20%28n%2B1%29%2F5%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=4%28n%2B1%29%2B20 ALIGN=MIDDLE  ALT=\"5n=4%28n%2B1%29%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=4n%2B4%2B20 ALIGN=MIDDLE  ALT=\"5n=4n%2B4%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=4n%2B24 ALIGN=MIDDLE  ALT=\"5n=4n%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n-4n=24 ALIGN=MIDDLE  ALT=\"5n-4n=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=24%29 ALIGN=MIDDLE  ALT=\"highlight%28n=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );