document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647079>Question 647079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A college charters a bus for $1700 to take a group to a museum. When six more students join the trip, the cost per student drops by $7.50. How many students are in the original group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406184 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=406184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A college charters a bus for $1700 to take a group to a museum.<BR>\n" );
document.write( " When six more students join the trip, the cost per student drops by $7.50.<BR>\n" );
document.write( " How many students are in the original group?<BR>\n" );
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document.write( "Let n = number to students in the original group<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1700%2Fn ALIGN=MIDDLE  ALT=\"1700%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original cost<BR>\n" );
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document.write( "(n+6) = no. when six more students join<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1700%2F%28%28n%2B6%29%29 ALIGN=MIDDLE  ALT=\"1700%2F%28%28n%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the cost when six more join<BR>\n" );
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document.write( "Original cost - six more cost = 7.50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1700%2Fn ALIGN=MIDDLE  ALT=\"1700%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1700%2F%28%28n%2B6%29%29 ALIGN=MIDDLE  ALT=\"1700%2F%28%28n%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.50<BR>\n" );
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document.write( "multiply by n(n+6), results:<BR>\n" );
document.write( "1700(n+6) - 1700n = 7.5n(n+6)<BR>\n" );
document.write( "1700n + 10200 - 1700n = 7.5n^2 + 45n<BR>\n" );
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document.write( "Combine as a quadratic equation<BR>\n" );
document.write( "7.5n^2 + 45n - 10200 = 0<BR>\n" );
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document.write( "simplify, divide thru by 7.5<BR>\n" );
document.write( "n^2 + 6n - 1360 = 0<BR>\n" );
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document.write( "You can use the quadratic formula, but this will factor to:<BR>\n" );
document.write( "(n+40)(n-34) = 0<BR>\n" );
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document.write( "the positive solution<BR>\n" );
document.write( "n = 34 original students<BR>\n" );
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document.write( "Check this, find the actual cost for each scenario<BR>\n" );
document.write( "1700/34 = $50.00<BR>\n" );
document.write( "1700/40 = $42.50, a $7.50 difference </SPAN>\n" );
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