A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 8 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choose the correct choice:
A) 26  B) 32  C) 43  D) 60  E) 77
There is one post for each length of chain, plus one final post at the end.   The length of the fence in feet is 8.5x + 0.5, where each is the number of chain lengths.   The length of the fence is an integer when x = 1,3,5,7,...   The length of the fence could be 9, 26, 43, 60, 77,...   The answer is 32.
<result>B</result>
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 8 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)