We have in this question that:
1. Colin wins 25 points for each gold coin he finds.
2. His goal is to win more than 200 points.
Then, to know how many gold coins he needs to find, we can proceed as follows:
We need to divide 200 by the 25 points for each gold he finds:
Therefore, he needs to find at least 8 gold coins to have (at least) 200 points, that is, if he finds 8 gold coins, he will have:
That is, he will obtain 200 points if he finds, at least, 8 gold coins. If he wants more points, of course, he will need another coin (that is, 9 or more).
In summary, he will need more than 8 gold coins to have more than 200 points.