document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002035>Question 1002035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An amount of money was divided between some people in such a way that if there had been 4 more people,everyone would have got Tk.16 less. But if there had been 4 less people, everyone would have got Tk.24 more. How many people were in group. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619106 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An amount of money was divided between some people in such a way that if there had been 4 more people,everyone would have got Tk.16 less.<BR>\n" );
document.write( " But if there had been 4 less people, everyone would have got Tk.24 more. How many people were in group.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = total amt to be divided<BR>\n" );
document.write( "let n = no. of people in the group<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write an equation for each scenario, simplify as much as possible<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fn ALIGN=MIDDLE  ALT=\"a%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%28n%2B4%29%29 ALIGN=MIDDLE  ALT=\"a%2F%28%28n%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16<BR>\n" );
document.write( "multiply eq by n(n+4)<BR>\n" );
document.write( "a(n+4) - an = 16n(n+4)<BR>\n" );
document.write( "an + 4a - an = 16n^2 + 64n<BR>\n" );
document.write( "4a = 16n^2 + 64n<BR>\n" );
document.write( "simplify, divide by 4<BR>\n" );
document.write( "a = 4n^2 + 16n<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%28n-4%29%29 ALIGN=MIDDLE  ALT=\"a%2F%28%28n-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fn ALIGN=MIDDLE  ALT=\"a%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 24 <BR>\n" );
document.write( "an - a(n-4) = 24n(n-4)<BR>\n" );
document.write( "an - an + 4a = 24n^2 - 96n<BR>\n" );
document.write( "4a = 24n^2 - 96n<BR>\n" );
document.write( "a = 6n^2 - 24n<BR>\n" );
document.write( "a=a, therefore<BR>\n" );
document.write( "6n^2 - 24n = 4n^2 + 16n<BR>\n" );
document.write( "6n^2 - 4n^2 - 24n - 16n = 0<BR>\n" );
document.write( "2n^2 - 40n = 0<BR>\n" );
document.write( "factor out 2n<BR>\n" );
document.write( "2n(n - 20) = 0<BR>\n" );
document.write( "n = 20 people in the group<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To check this out, find the total of amt to be divided (a)<BR>\n" );
document.write( "a = 4n^2 + 16n<BR>\n" );
document.write( "replace n with 20<BR>\n" );
document.write( "a = 4(400) + 16(20)<BR>\n" );
document.write( "a = $1920<BR>\n" );
document.write( "See if this works out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1920%2F20 ALIGN=MIDDLE  ALT=\"1920%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1920%2F24 ALIGN=MIDDLE  ALT=\"1920%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "96 - 80 = $16 less<BR>\n" );
document.write( "You can check this out in the other scenario, $24 more with 16 people </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );