document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012240>Question 1012240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elf #1 has made 20 toy trains today and can make 5 more per hour. Elf #2 has made 28 trains today and can make 3 more per hour. How many hours until both elves have made the same number of trains and how many trains will that be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628109 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=628109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation for elf 1 is 20 + 5x.<BR>\n" );
document.write( "equation for elf 2 is 28 + 3x.\r<BR>\n" );
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document.write( "x is the number of hours.<BR>\n" );
document.write( "5x is the number of additional trains elf 1 can make in x hours.<BR>\n" );
document.write( "3x is the number of additional trains elf 2 can make in x hours.\r<BR>\n" );
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document.write( "you want to know how many hours are required for each to make the same number of trains.\r<BR>\n" );
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document.write( "20 + 5x is the total number of trains elf 1 can make in x hours.<BR>\n" );
document.write( "28 + 3x is the total number of trains elf 2 can make in x hours.\r<BR>\n" );
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document.write( "if you want the total number of trains each makes to be the same, then set 20 + 5x equal to 28 + 3x.\r<BR>\n" );
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document.write( "your equation is 20 + 5x = 28 + 3x.\r<BR>\n" );
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document.write( "solve for x in this equaiton and you should have your answer.\r<BR>\n" );
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document.write( "start with 20 + 5x = 28 + 3x.\r<BR>\n" );
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document.write( "subtract 20 from both sides of this equation and subtract 3x from both sides of this equation to get 5x - 3x = 28 - 20\r<BR>\n" );
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document.write( "combine like terms to get 2x = 8\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get x = 4.\r<BR>\n" );
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document.write( "they should have built a total of the same number of trains in 4 houjrs.\r<BR>\n" );
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document.write( "elf 1 will have built a total of 20 + 5*4 = 40 trains. \r<BR>\n" );
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document.write( "elf2 will have built a total of 28 + 3*4 = 40 trains.\r<BR>\n" );
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document.write( "solution is good.\r<BR>\n" );
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document.write( "it will take 4 additional hours and they both will have made a total of 40 trains each.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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