document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899373>Question 899373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Julia drove to her holiday destination over a period of five days. On the first day she travels <BR>\n" );
document.write( "a certain distance, on the second day she travels half that distance, on the third day a third of <BR>\n" );
document.write( "that distance, on the fourth day one-quarter of the distance and on the fifth day one-fifth of the <BR>\n" );
document.write( "distance. If her destination was 1000 km away write an equation and solve it to find how far she <BR>\n" );
document.write( "travelled on the first day to the nearest kilometre. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545333 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=545333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1000 = a + b + c + d + e\r<BR>\n" );
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document.write( "a = a<BR>\n" );
document.write( "b = a/2<BR>\n" );
document.write( "c = b/3 = (a/2)/3 = a/6<BR>\n" );
document.write( "d = c/4 = (a/6)/4 = a/24<BR>\n" );
document.write( "e = d/5 = (a/24)/5 = a/120\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "1000 = a + b + c + d + e becomes:<BR>\n" );
document.write( "1000 = a + a/2 + a/6 + a/24 + a/120\r<BR>\n" );
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document.write( "multiply both sides of this equation by 120 and you get:\r<BR>\n" );
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document.write( "120 * 1000 = 120a + 60a + 20a + 5a + 1a\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "120 * 1000 = 206a\r<BR>\n" );
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document.write( "divide both sides of this equation by 206 to get:\r<BR>\n" );
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document.write( "120 * 1000 / 206 = a\r<BR>\n" );
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document.write( "solve for a to get:\r<BR>\n" );
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document.write( "a = 582.5242...\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "a = 582.5242...<BR>\n" );
document.write( "b = a/2 = 291.2621...<BR>\n" );
document.write( "c = b/3 = 97.0873...<BR>\n" );
document.write( "d = c/4 = 24.2718...<BR>\n" );
document.write( "e = d/5 = 4.8543...\r<BR>\n" );
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document.write( "add them up and you get:\r<BR>\n" );
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document.write( "sum(a,b,c,d,e) = 1000\r<BR>\n" );
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document.write( "your solution is that she traveled 583 kilometers on the first day.<BR>\n" );
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