Mr. Weedy and I average about $220/mo on groceries and eat very well. I shop at Aldi, our meat is mostly chicken and turkey (pork chops when on sale, occasional ham and ground beef), lots of fruits and veggies, everything cooked from scratch. No alcohol, tobacco or soda. If you cut out processed foods and junk, it's not hard to eat on a SNAP budget.
We have friends, a family of mom + 6 kids (ages 4-19), that gets $900/mo food stamps. It never lasts the full month. Their house is full of soda and treats, and then 3 weeks later they don't have anything for dinner. It breaks my heart, but my attempts to show mom another way have fallen on deaf ears.