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" );
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document.write( "Denys wants twice as much as Ivan does. So,\r\n" );
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document.write( "Zoe wants twice as much as Denys does\r\n" );
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document.write( "Zoe wants...half as much as Ethan does. \r\n" );
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document.write( "So we have these equations:\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" );
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, by multiplying both sides by 2,\r\n" );
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\r\n" );
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document.write( "So we have something to substitute for \r\n" );
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in terms of Z, namely
.\r\n" );
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document.write( "From \r\n" );
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, by multiplying both sides by
,\r\n" );
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document.write( "So we have something to substitute for \r\n" );
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in terms of Z, namely
.\r\n" );
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document.write( "From\r\n" );
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, by mutiplying both sides by
,\r\n" );
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. Then we can substitute\r\n" );
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for
in that, and get\r\n" );
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which is the same as\r\n" );
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document.write( "So we have something to substitute for \r\n" );
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in terms of Z, namely
.\r\n" );
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document.write( "So let's substitute all those in\r\n" );
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, leaving
as it is:\r\n" );
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document.write( "Then we can multiply everything by
and get\r\n" );
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document.write( "Then we can divide both sides by
and get\r\n" );
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document.write( "Then we can get E from \r\n" );
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document.write( "Then we can get D from\r\n" );
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document.write( "Finally we can get I from\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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