Let's solve this step by step. We know that Tera spends 2/3 of her money on a video game, which means she has 1/3 of her money remaining.
Then she spends half of her remaining money on lunch, which is 1/3 * 1/2 = 1/6 of her original money.
We are given that her lunch costs $10, so 1/6 of her original money equals $10.
To find her original money, we can multiply the amount spent on lunch by 6:
$10 * 6 = $60.
So Tera had $60 at first.