document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188684>Question 188684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> +\r<BR>\n" );
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document.write( "The number of people were to share eqqually the expenses Rs 900 for a bus trip to Hawks Bay. Due to certain expenses 5 of them were unable to make it and remaining people had to pay and extra of Rs 2.50 each . How many people were supposed to share the expenses originally.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141516 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=141516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of people were to share equally the expenses Rs 900 for a bus trip to Hawks Bay. <BR>\n" );
document.write( "Due to certain expenses 5 of them were unable to make it and remaining people had<BR>\n" );
document.write( " to pay and extra of Rs 2.50 each . <BR>\n" );
document.write( "How many people were supposed to share the expenses originally.<BR>\n" );
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document.write( "Let x = no. of people originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-5) = no. of remaining people<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2Fx ALIGN=MIDDLE  ALT=\"900%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per person originally<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2F%28%28x-5%29%29 ALIGN=MIDDLE  ALT=\"900%2F%28%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per person actually<BR>\n" );
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document.write( "Original cost + 2.50 = Actual cost (per person)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2Fx ALIGN=MIDDLE  ALT=\"900%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2.50 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2F%28%28x-5%29%29 ALIGN=MIDDLE  ALT=\"900%2F%28%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by x(x-5), results:<BR>\n" );
document.write( "900(x-5) + 2.5x(x-5) = 900x<BR>\n" );
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document.write( "900x - 4500 + 2.5x^2 - 12.5x = 900x<BR>\n" );
document.write( "Arrange as a quadratic equation:<BR>\n" );
document.write( "2.5x^2 - 12.5x + 900x - 900x - 4500 = 0<BR>\n" );
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document.write( "2.5x^2 - 12.5x - 4500 = 0<BR>\n" );
document.write( "Simplify, divide equation by 2.5:<BR>\n" );
document.write( "x^2 - 5x - 1800 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(x-45)(x+40) = 0<BR>\n" );
document.write( "Positive solution is what we want here:<BR>\n" );
document.write( "x = 45 people originally<BR>\n" );
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document.write( "Check solution, find the cost per person for each scenario<BR>\n" );
document.write( "900/45 = 20<BR>\n" );
document.write( "900/40 = 22.50  </SPAN>\n" );
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