Question 527643: You are putting up a 90-foot-long fence in your backyard. According to the manufacturer's instructions, the fence posts should be equally spaced along the length of the yard. List all the possible spacing options if the amount of space between the posts is a whole number of feet. If the posts should be spaced between 8 feet and 14 feet apart, how far apart should your posts be?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The number of posts is one more than the number of spaces between posts.
1 space = 2 posts means 90 feet per space. (does not fit 8 to 14 range)
2 spaces = 3 posts means 45 feet per space: (No)
3 spaces = 4 posts meands 30 feet per space: (No)
4 spaces (Not possible, 90 mod 4 not equal to zero)
5 spaces = 6 posts means 18 feet per space: (No)
6 spaces = 7 posts means 15 feet per space: (No, but close)
8 spaces (Not possible, see 4 spaces above)
9 spaces = 10 posts means 10 feet per space: Fits.
10 spaces = 11 posts means 9 feet per space: Fits.
11, 12, 13, 14, spaces not possible.
15 spaces = 16 posts means 6 feet per space: (No)
John
My calculator said it, I believe it, that settles it
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