document.write( "Question 403309: Some children are standing in a circular arrangement. they are evenly spaced and marked in numerical order. the fourth child is standing directly opposite the twelfth child. how many children are in the circle? \n" ); document.write( "
Algebra.Com's Answer #285223 by jim_thompson5910(35256)\"\" \"About 
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Draw a picture and you'll see that kids #5 through #11 will be in between #4 and #12 (note: we at least know that there are 12 kids). So there are 11-5+1 = 7 kids that are between #4 and #12\r
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\n" ); document.write( "\n" ); document.write( "So because of symmetry, this means that there must be 7 kids in between kid #12 and kid #4 (say the circle starts at kid #4, so it wraps around back to the kid #4). So add 7 to 12 to get 19. Now realize that there are kids #1, #2, and #3 (which are before #4), so we have to subtract 3 from 19 to get 16 (since we've over counted). So there are 16 kids in the circle.
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