YOU SAID:

I went to my culinary arts class and ate food.

INTO JAPANESE

私は料理のクラスに行き、食べ物を食べに行きました。

BACK INTO ENGLISH

I went to a cooking class and went to eat food.

INTO JAPANESE

料理教室に行って食べ物を食べに行きました。

BACK INTO ENGLISH

I went to a cooking class and went to eat food.