document.write( "Question 304768: A class has twice as many boys as girls . the students in the class stand in one line , with a girl at the front of the line . which of the following must be true?\r
\n" ); document.write( "\n" ); document.write( "(A) the last person in line is a girl
\n" ); document.write( "(B) the last person in line is a boy
\n" ); document.write( "(C) there are more girls than boys in the class
\n" ); document.write( "(D) there are at least two girls standing next to each other
\n" ); document.write( "(E) there are at least two boys standing next to each other\r
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Algebra.Com's Answer #218281 by Edwin McCravy(20060)\"\" \"About 
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A class has twice as many boys as girls . the students in the class stand in one line , with a girl at the front of the line . which of the following must be true?
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document.write( "Let's go through the answers\r\n" );
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\n" ); document.write( "(A) the last person in line is a girl
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document.write( "That doesn't have to be true, because if there were 1 girl and \r\n" );
document.write( "2 boys, that one girl would be first in line, not last.\r\n" );
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\n" ); document.write( "(B) the last person in line is a boy
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document.write( "That doesn't have to be true, because if there were 2 girls and \r\n" );
document.write( "4 boys, they could be lined up like this\r\n" );
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document.write( "6th (last)   5th  4th  3rd   2nd   1st\r\n" );
document.write( "    G         B    B    B     B     G\r\n" );
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\n" ); document.write( "(C) there are more girls than boys in the class
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document.write( "That can't be true because it contradicts the fact that there\r\n" );
document.write( "are twice as many boys as girls. \r\n" );
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\n" ); document.write( "(D) there are at least two girls standing next to each other
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document.write( "That certainly isn't necessarily true by the example used above:\r\n" );
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document.write( "6th (last)   5th  4th  3rd   2nd   1st\r\n" );
document.write( "    G         B    B    B     B     G\r\n" );
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\n" ); document.write( "(E) there are at least two boys standing next to each other
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document.write( "Indeed (E) is the correct choice, not just because we have ruled \r\n" );
document.write( "out all the others (which is a good reason!) but also because\r\n" );
document.write( "except in the case of 2 boys and 1 girl, there aren't enough\r\n" );
document.write( "girls to be able to put one girl between every pair of boys.\r\n" );
document.write( "And in the case where there are 2 boys and 1 girl, that one\r\n" );
document.write( "girl must be at the front of the line, putting the two boys\r\n" );
document.write( "standing next to each other.\r\n" );
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document.write( "In fact the only reason that the requirement of \"a girl at the front \r\n" );
document.write( "of the line\" is necessary is because of the one case where there are\r\n" );
document.write( "2 boys and only 1 girl.  E is automatically true in every other case\r\n" );
document.write( "even without that requirement.\r\n" );
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document.write( "Edwin
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