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Math Help - the measure of the width of the property

  1. #1
    rcs
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    the measure of the width of the property

    Problem:

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

    can anybody help me understand this problem please....


    how is the problem above be represented by variables and into equation.
    thanks
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  2. #2
    MHF Contributor

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    Re: the measure of the width of the property

    Suppose he initially had n posts. Assuming he had one post at each end, there area n-1 intervals between posts and the width of the property is 2(n-1). If he uses "3 posts less", then he uses n- 3 posts, n- 3- 1= n- 4 intervals between them and so the width of the property is 3(n- 4). Since both 2(n- 1) and 3(n- 4) give the width of the property, set them equal and solve that equation for n. Put that vaue of n back into either formula to get the width of the property.
    Last edited by HallsofIvy; December 9th 2012 at 06:24 AM.
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