An orchard has 816 apple trees. The number of rows exceeds the number of trees per row by 10. How ma

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An orchard has 816 apple trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in each row?

Let the rows be r and the trees per row be t. We're given two equations:

1. rt = 816
2. r = t + 10

Substitute equation (2) into equation (1) for r:
(t + 10)t = 816
t^2 + 10t = 816

Subtract 816 from each side of the equation:
t^2 + 10t - 816 = 816 - 816
t^2 + 10t - 816 = 0

We have a quadratic equation. To solve this, we type it in our search engine and we get:
t = (24, -34)

Since the number of trees per row can't be negative, we choose 24 as our answer