jmc

Let $n$ be the number of trees Jax bought. The three conditions can be written as follows:

1. $n$ is a multiple of 8.

2. $n$ is 1 more than a multiple of 9

3. $n$ is 2 more than a multiple of 10.

In other words, $n=8a=9b+1=10c+2$ for some nonnegative integers $a,$ $b,$ and $c.$

The third condition means that $n$ is one of $2,12,22,32,\dots$ and so on. The first number in this sequence that is one more than a multiple of 9 is 82. Note that if we add a multiple of 90 to 82, the result is also a number that is 2 more than a multiple of 10, and 1 more than a multiple of 9. Furthermore, these are the only numbers that satisfy the last two conditions. To see this, we can look at the equations $n=9b+1=10c+2.$ Then $$n-82=9b-81=10c-80,$$which we can write as $n-82=9(b-9)=10(c-8).$ This tells us $n-82$ is both a multiple of 9 and 10, so $n-82$ must be a multiple of 90.

So, $n$ lies in the sequence $$82,172,262,352,442,\dots .$$The first number in this sequence that is a multiple of 8 is $\boxed{352}$.