SOLUTION: Bob is building a deck tha tis 32 feet long, and he has posts that are 6 inches square to use to build the railing. If he puts the posts 4 feet apart with one each end, how many po

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Question 802321: Bob is building a deck tha tis 32 feet long, and he has posts that are 6 inches square to use to build the railing. If he puts the posts 4 feet apart with one each end, how many posts will he use?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is going to be 1 more post than the number of
spaces between posts. For example, if there were 10
spaces, there would be 11 posts
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Let +n+ = the number of +4+ ft spaces
+n+%2B+1+ = the number of posts
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Note that +6+ in = +.5+ ft
+4n+%2B+.5%2A%28+n+%2B+1+%29+=+32+
+4n+%2B+.5n+%2B+.5+=+32+
+4.5n+=+31.5+
+n+=+7+
+n%2B+1+=+8+
He will use 8 posts
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check:
+4n+%2B+.5%2A%28+n+%2B+1+%29+=+32+
+4%2A7+%2B+.5%2A8+=+32+
+28+%2B+4+=+32+
+32+=+32+
OK