SOLUTION: Bob is building a deck that is 25 feet long, and he has posts that are 6 inches square to use to build the railing. If he puts the posts 3 feet apart with one on each end, how many

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Bob is building a deck that is 25 feet long, and he has posts that are 6 inches square to use to build the railing. If he puts the posts 3 feet apart with one on each end, how many      Log On

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Question 1182910: Bob is building a deck that is 25 feet long, and he has posts that are 6 inches square to use to build the railing. If he puts the posts 3 feet apart with one on each end, how many posts will he use?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Bob is building a deck that is 25 feet long, and he has posts that are 6 inches square
to use to build the railing. If he puts the posts 3 feet apart with one on each end,
how many posts will he use?
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            A TWIN problem was solved at this forum long time ago by tutor @josmiceli under this link

            https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.802321.html

            So, I copied that solution and changed the numbers in it, respectively.
            Below is the updated solution.



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
-----------------------------
Let +n+ = the number of +3+ ft spaces
+n+%2B+1+ = the number of posts
-----------------
Note that +6+ in = +.5+ ft
+3n+%2B+.5%2A%28+n+%2B+1+%29+=+25+
+3n+%2B+.5n+%2B+.5+=+25+
+3.5n+=+24.5+
+n+=+7+
+n%2B+1+=+8+
He will use 8 posts.             ANSWER
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check:
+3n+%2B+.5%2A%28+n+%2B+1+%29+=+25+
+3%2A7+%2B+.5%2A8+=+25+
+21+%2B+4+=+25+
+25+=+25+
OK