An orchard has 378 orange trees. The number of rows exceeds the number of trees per row by 3. How ma

Discussion in 'Calculator Requests' started by math_celebrity, Oct 30, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    An orchard has 378 orange trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?

    We have r rows and t trees per row. We're give two equations:
    1. rt = 378
    2. r = t + 3
    Substitute equation (2) into equation (1) for r:
    (t + 3)t = 378

    Multiply through:
    t^2 + 3t = 378

    We have a quadratic equation. To solve this equation, we type it in our search engine and we get:
    t = 18 and t = -21

    Since t cannot be negative, we get trees per row (t):
    t = 18
     

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