document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896691>Question 896691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:<BR>\n" );
document.write( "At station A, the number of adults was 25% fewer than the number of children on a train.  At station B, 25 children alighted from the train and 25 adults boarded the train.  There were then 100% more adults than children.  How many adults were on the train when it left station B?\r<BR>\n" );
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document.write( "Thanks heaps! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543712 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = number of adults.<BR>\n" );
document.write( "let c = number of children.\r<BR>\n" );
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document.write( "at station A you get:\r<BR>\n" );
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document.write( "a = c - .25c which results in a = .75c\r<BR>\n" );
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document.write( "at station B you get:\r<BR>\n" );
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document.write( "(a+25) = 2 * (c-25)\r<BR>\n" );
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document.write( "from the equation for station a, you can replace a with .75c in the equation for station B to get:\r<BR>\n" );
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document.write( "(.75c + 25) = 2 * (c - 25)\r<BR>\n" );
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document.write( "simplify this to get:\r<BR>\n" );
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document.write( ".75c + 25 = 2c - 50\r<BR>\n" );
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document.write( "subtract .75c from both sides of the equation and add 50 to both sides of the equation to get:\r<BR>\n" );
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document.write( "75 = 1.25c\r<BR>\n" );
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document.write( "divide both sides of the equation by 1.25 to get:\r<BR>\n" );
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document.write( "c = 60\r<BR>\n" );
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document.write( "at station A, then a must be equal to 45 because 45 = .75 * 60\r<BR>\n" );
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document.write( "at station B you get:\r<BR>\n" );
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document.write( "c - 25 = 60 - 25 = 35\r<BR>\n" );
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document.write( "a = 45 + 25 = 70\r<BR>\n" );
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document.write( "a = 70<BR>\n" );
document.write( "c = 35\r<BR>\n" );
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document.write( "a = 2*c becomes 70 = 2*35 which becomes 70 = 70 which is true.\r<BR>\n" );
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document.write( "there were 100% more adults than children means that the number of adults is equal to the number of children plus another 100% of the children which is equal to 200% of the children which is equal to 2 times the number of children.\r<BR>\n" );
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document.write( "the numbers must be good.\r<BR>\n" );
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document.write( "a = 45<BR>\n" );
document.write( "c = 60\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "70 adults were on the train when it left station B.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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