document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202745>Question 1202745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Farmer Bill has a mixture of black and white sheep, with some being younger than 3 years and some being 3 years or older. His records indicate that there is a total of 80 sheep with 28 being aged under 3 years and 30 sheep in total are black. There are 34 white sheep aged 3 years or more. Construct a two-way table to represent the data. </SPAN>\n" );
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document.write( "<font color=red>Answer</font><BR>\n" );
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document.write( "<tr><TD ></TD><TD >White</TD><TD >Black</TD><TD >Total</TD></tr><tr><TD >Less than 3 yrs</TD><TD >16</TD><TD >12</TD><TD >28</TD></tr><tr><TD >3 yrs or older</TD><TD >34</TD><TD >18</TD><TD >52</TD></tr><tr><TD >Total</TD><TD >50</TD><TD >30</TD><TD >80</TD></tr>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "We have these given facts<ol><li>There is a total of 80 sheep</li><li>with 28 being aged under 3 years</li><li>and 30 sheep in total are black. </li><li>There are 34 white sheep aged 3 years or more.</li></ol>Fact 1 will mean 80 goes in the bottom right corner. <BR>\n" );
document.write( "This is the grand total.\r<BR>\n" );
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document.write( "Fact 2 says that \"28\" goes at the end of the first row.<BR>\n" );
document.write( "Then we combine facts 1 and 2 so we can determine the missing value in the final column is 80-28 = 52.\r<BR>\n" );
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document.write( "Fact 3 is then used to write \"30\" at the bottom of the second column. <BR>\n" );
document.write( "The total for the other column must be 80-30 = 50 (when combining facts 1 and 3).<BR>\n" );
document.write( "There are 50 white sheep and 30 black sheep to have 50+30 = 80 total.\r<BR>\n" );
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document.write( "Fact 4 then is used to write \"34\" just above the 50 we wrote earlier. <BR>\n" );
document.write( "The remaining white sheep count is 50-34 = 16.\r<BR>\n" );
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document.write( "There are 16 white sheep aged less than 3 yrs, and 28 sheep of this age group. The remaining sheep of this age group must be 28-16 = 12.\r<BR>\n" );
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document.write( "The final slot must be 18 because either<BR>\n" );
document.write( "30-12 = 18<BR>\n" );
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document.write( "52-34 = 18\r<BR>\n" );
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document.write( "Let me know if you have further questions.<BR>\n" );
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