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

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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