So this post isn't about ramen noodles (horrible, nasty things they are!), but maybe it will help! I think its ok to derail a little bit, since the reason for buying the noodles in the first place was a very small grocery budget.
Well.. my budget is higher than muzikjunky's. I spend about 130 a week between myself, my husband, and our 3 cats. Cat food and litter is expensive every week! Probably about $30-40 of our budget if not more.
As for the food, I buy lots of fresh veggies. I usually spend around $40 on vegetables alone. Now, I obviously have more resources to be able to do that. But I still look for the deals! I go to 2-3 stores every week in order to save money: Shaw's or a local market, Walmart, and BJ's Wholesale Club.
I usually get all the cat stuff at Walmart and things like generic crystal light ($1.98 for 6 tubs! That makes 12 quarts. Cheap!).
At BJ's I get Fiber One bars (20 for $7.99), pita bread, nonfat plain yogurt (1.99 for the tub of yogurt, not the 1-serving size ones), hummus, any detergent, and my veggies/fruit that are cheaper there than at the local market. For instance, this week at BJ's I got my bananas, cucumbers, cherry tomatoes. Its also a great place to buy any of your frozen berries.
At the local market I buy other veggies and meat when it is on sale. I bought my grapes and peppers there this week. This week I also got boneless skinless chicken breast for $1.99/lb and peaches for $0.99/lb. So when things like meat are on sale, I stock up. I think I bought 6 pounds of chicken this week but that will last for a LONG time! I also freeze grapes towards the end of the week if I haven't ate them all and use them in smoothies.
When whole turkey breasts or whole roasting chickens are on sale, I will buy them and cook them on a weekend. Then I have leftovers for the week.
Sometimes, Shaw's or Stop & Shop will have deals on soup. These deals are AWESOME. It is usually 10 cans for $10 (Progresso or Campbell's Chunky). Now, I save ALL my coupons for soup until there are sales. Its usually $1 off of 2. So I get them for 50 cents each! I usually buy 20-30 cans of soup during those sales. They usually limit you to 10 cans at a time, but I just go back in the store and buy 10 more, then go back again haha
So there are a lot of things you can do! You can check out coupon websites too (I use coolsavings.com) to help you save some money. Good luck!