document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188494>Question 188494</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400507/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A group of students agreed that each would chip in the same amount to pay for a party that would cost $100.  Then they found 5 more students interested in the party and in sharing the expeneses.  This decreased the amount each had to pay by $1.  How many students were involved in the party and how much idid each student have to pay?\r<BR>\n" );
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document.write( "thanks again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141314 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <i>x</i> be the original number of students.\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{100}{x} \"> is the amount that each would have to pay.\r<BR>\n" );
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document.write( "And <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{100}{x+5}\"> is the share for each student with the additional 5 students.  But this is $1 less than the share for <i>x</i> students.\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{100}{x} = \frac{100}{x+5}+1\">\r<BR>\n" );
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document.write( "Solve for <i>x</i> to get the original number of students, add 5 to get the new number of students, divide that number into 100 to get the per each share.\r<BR>\n" );
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document.write( "(Hint: Apply a common denominator on the right, complete the sum, then cross-multiply.  You will end up with a factorable quadratic that will have one positive root and one negative root.  Throw out the negative root - a party with a negative number of students is absurd.  The positive root will be the original number of students.)\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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