document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969376>Question 969376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Darren had 35 more pencils than Jimmy. Darren gave 60%of his pencils to Jimmy. Jimmy in return gave 20% of his pencils to Darren. In the end, Jimmy had 21 more pencils than Darren. How many pencils did Jimmy have at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592281 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=592281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are looking for the missing number.<BR>\n" );
document.write( "call that number x.<BR>\n" );
document.write( "x represents the number of pencils that jimmy has to start with.\r<BR>\n" );
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document.write( "my worksheet is shown below.\r<BR>\n" );
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document.write( "step 1 takes 60% of what darren has to start with and gives it to jimmy.<BR>\n" );
document.write( "darren is left with 40% of what darren had to start with.<BR>\n" );
document.write( "jimmy is l4eft with 60% of what darren had to start with plus what jimmy had to start with.\r<BR>\n" );
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document.write( "darren started with x + 35.<BR>\n" );
document.write( "after step 1 darren was left with 40% of x + 35.\r<BR>\n" );
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document.write( "jimmy started with x.<BR>\n" );
document.write( "after step 1 jimmy had x + 60% of x + 35.\r<BR>\n" );
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document.write( "step 2 subtract 20% of what jimmy had after step 1 and gives it to darren.\r<BR>\n" );
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document.write( "jimmy started step 2 with 1.6x + 21.<BR>\n" );
document.write( "jimmy is left with 1.6x + 21 minus .2 * (1.6x + 21) after step 2 which is equal to 1.28x + 16.8.\r<BR>\n" );
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document.write( "darren started step 2 with .4x + 14.<BR>\n" );
document.write( "darren added .2 * (1.6x + 21) to that.<BR>\n" );
document.write( "darren is left with .72x + 18.3 after step 2.\r<BR>\n" );
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document.write( "step 3 says that, after all is said and done, darren is left with 21 more pencils than jimmy.\r<BR>\n" );
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document.write( "since jimmy has 1.28x + 16.8 pencils, and darren has .72x 18.2 pencils, this means that:\r<BR>\n" );
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document.write( "1.28x + 16.8 = .72x + 18i.2 + 21.\r<BR>\n" );
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document.write( "this statement says that what jimmy has is equal to what darren has plus 21.\r<BR>\n" );
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document.write( "solve for x in step 3 and yoju get x = 40.\r<BR>\n" );
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document.write( "that must be what jimmy had to start with.\r<BR>\n" );
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document.write( "after that is verification.\r<BR>\n" );
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document.write( "darren starts with 75 and jimmy starts with 40.<BR>\n" );
document.write( "after step 1, darren has 30 and jimmy had 85.<BR>\n" );
document.write( "after step 2, darren has 47 and jimmy has 68.<BR>\n" );
document.write( "after step 3, it is clear that 68 pencils is 21 more pencils than 47.\r<BR>\n" );
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document.write( "my worksheet is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/050901.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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