document.write( "Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you\r
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\n" ); document.write( "\n" ); document.write( "Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
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Algebra.Com's Answer #122216 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Edwin's solution:
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document.write( "Ivan, Zoe, Denys and Ethan wanted to divided\r\n" );
document.write( " up a big old pickle 30 feet long. So,\r\n" );
document.write( "\"I+%2B+Z+%2B+D+%2B+E+=+30\"\r\n" );
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document.write( "Denys wants twice as much as Ivan does. So,\r\n" );
document.write( "\"D+=+2I\"\r\n" );
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document.write( "Zoe wants twice as much as Denys does\r\n" );
document.write( "\"Z=+2D\"\r\n" );
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document.write( "Zoe wants...half as much as Ethan does. \r\n" );
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document.write( "\"Z+=+%281%2F2%29E\"\r\n" );
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document.write( "So we have these equations:\r\n" );
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document.write( "\"I+%2B+Z+%2B+D+%2B+E+=+30\"\r\n" );
document.write( "\"D+=+2I\"\r\n" );
document.write( "\"Z=+2D\"\r\n" );
document.write( "\"Z+=+%281%2F2%29E\"\r\n" );
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document.write( "Let's see if we can get equations for\r\n" );
document.write( "I, D, and E in terms of Z. Then we'll substitute\r\n" );
document.write( "them in the first equation.\r\n" );
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document.write( "From\r\n" );
document.write( "\"Z+=+%281%2F2%29E\", by multiplying both sides by 2,\r\n" );
document.write( "\"2Z+=+E\"\r\n" );
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document.write( "So we have something to substitute for \r\n" );
document.write( "\"E\" in terms of Z, namely \"2Z\".\r\n" );
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document.write( "From \r\n" );
document.write( "\"Z=+2D\", by multiplying both sides by \"1%2F2\",\r\n" );
document.write( "\"%281%2F2%29Z=D\"\r\n" );
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document.write( "So we have something to substitute for \r\n" );
document.write( "\"D\" in terms of Z, namely \"%281%2F2%29Z\".\r\n" );
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document.write( "From\r\n" );
document.write( "\"D=2I\", by mutiplying both sides by \"1%2F2\",\r\n" );
document.write( "\"%281%2F2%29D=I\".  Then we can substitute\r\n" );
document.write( "\"%281%2F2%29Z\" for \"D\" in that, and get\r\n" );
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document.write( "\"%281%2F2%29%281%2F2%29Z=I\" which is the same as\r\n" );
document.write( "\"%281%2F4%29Z=I\"\r\n" );
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document.write( "So we have something to substitute for \r\n" );
document.write( "\"I\" in terms of Z, namely \"%281%2F4%29Z\".\r\n" );
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document.write( "So let's substitute all those in\r\n" );
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document.write( "\"I+%2B+Z+%2B+D+%2B+E+=+30\", leaving \"Z\" as it is:\r\n" );
document.write( "\r\n" );
document.write( "\"%281%2F4%29Z+%2B+Z+%2B+%281%2F2%29Z+%2B+2Z+=+30\"\r\n" );
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document.write( "Then we can multiply everything by \"4\" and get\r\n" );
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document.write( "\"Z+%2B+4Z+%2B+2Z+%2B+8Z+=+120\"\r\n" );
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document.write( "\"15Z=120\"\r\n" );
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document.write( "Then we can divide both sides by \"15\" and get\r\n" );
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document.write( "\"Z=8\"\r\n" );
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document.write( "Then we can get E from \r\n" );
document.write( "\"2Z+=+E\"\r\n" );
document.write( "\"2%288%29=E\"\r\n" );
document.write( "\"16=E\"\r\n" );
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document.write( "Then we can get D from\r\n" );
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document.write( "\"%281%2F2%29Z=D\"\r\n" );
document.write( "\"%281%2F2%29%288%29+=+D\"\r\n" );
document.write( "\"4=D\"\r\n" );
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document.write( "Finally we can get I from\r\n" );
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document.write( "\"%281%2F4%29Z=I\"\r\n" );
document.write( "\"%281%2F4%29%288%29=I\"\r\n" );
document.write( "\"2=I\"\r\n" );
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document.write( "So\r\n" );
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document.write( "Ivan gets 2 inches, Zoe gets 8 inches, \r\n" );
document.write( "Denys gets 4 inches, and Ethan gets 16 inches\r\n" );
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document.write( "Edwin
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