document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619173>Question 619173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an amount is distributed equally among a certain no. of  students.if there are 8 students less,everyone will get Rs.10 more. if there are 16 students more, each will get Rs.10 less. what is the no. of students and the amount each gets? what is the total amount distributed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389476 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=389476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an amount is distributed equally among a certain no. of students.<BR>\n" );
document.write( " if there are 8 students less, everyone will get Rs.10 more.<BR>\n" );
document.write( " if there are 16 students more, each will get Rs.10 less.<BR>\n" );
document.write( " what is the no. of students and the amount each gets?<BR>\n" );
document.write( " what is the total amount distributed?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = total amt<BR>\n" );
document.write( "Let s = number of student<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If there are 8 students less, everyone will get Rs.10 more.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%28s-8%29%29 ALIGN=MIDDLE  ALT=\"a%2F%28%28s-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fs ALIGN=MIDDLE  ALT=\"a%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( "Multiply by s(s-8)<BR>\n" );
document.write( "as - a(s-8) = 10s(s-8) <BR>\n" );
document.write( "as - as + 8a = 10s^2 - 80s<BR>\n" );
document.write( "8a = 10s^2 - 80s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"if there are 16 students more, each will get Rs.10 less.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fs ALIGN=MIDDLE  ALT=\"a%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%28s%2B16%29%29 ALIGN=MIDDLE  ALT=\"a%2F%28%28s%2B16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( "Multiply by s(s+16)<BR>\n" );
document.write( "a(s+16) - as = 10s(s+16) <BR>\n" );
document.write( "as + 16a - as = 10s^2 + 160s<BR>\n" );
document.write( "16a = 10s^2 + 160s<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "8a = 5s^2 + 80s<BR>\n" );
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document.write( "8a = 8a, therefore combine the two equations<BR>\n" );
document.write( "10s^2 - 80s = 5s^2 + 80s<BR>\n" );
document.write( "10s^2 - 5s^2 - 80s - 80s = 0<BR>\n" );
document.write( "5s^2 - 160s = 0<BR>\n" );
document.write( "Factor out s<BR>\n" );
document.write( "5s - 160 = 0<BR>\n" );
document.write( "5s = 160<BR>\n" );
document.write( "s = 160/5<BR>\n" );
document.write( "s = 32 students<BR>\n" );
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document.write( "Find the amt using 8a = 5s^2 + 80s, replace s with 32<BR>\n" );
document.write( "8a = 5(32^2) + 80(32)<BR>\n" );
document.write( "8a = 5120 + 2560<BR>\n" );
document.write( "8a = 7680<BR>\n" );
document.write( "a = 7680/8<BR>\n" );
document.write( "a = $960 total distributed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the total for each student:<BR>\n" );
document.write( "960/32 = $30 each student<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Check this using the statement:<BR>\n" );
document.write( "\"If there were 8 less, each get $10 more<BR>\n" );
document.write( "960/24 = $40, for each<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check it in the other statement\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );