SOLUTION: A man is planning to fence the front of his property with posts 2 m apart. Short of money he decides to make the posts 3 m apart and uses 3 posts less. How wide is the property?

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Question 556037: A man is planning to fence the front of his property with posts 2 m apart. Short of money he decides to make the posts 3 m apart and uses 3 posts less. How wide is the property?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of posts used when they are 2 m apart
There has to be a post at each end
so, the number of spaces between posts
is 1 less than the number of posts
given:
width = +%28+n+-+1%29%2A2+ m
width = +%28+n+-+3+-+1+%29%2A3+ m
+%28+n+-+1+%29%2A2+=+%28+n+-+4+%29%2A3+
+2n+-+2+=+3n+-+12+
+n+=+12+-+2+
+n+=+10+
and
width = +%28+n+-+1+%29%2A2+
width = +%28+10+-+1+%29%2A2+
width = +18+
The width of the property is 18 m
check:
+%28+n+-+1+%29%2A2+=+%28+n+-+4+%29%2A3+
+%28+10+-+1+%29%2A2+=+%28+10+-+4+%29%2A3+
+18+=+18+
OK