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

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