You have obviously never been poor. I can assure you it doesn't work the other way.
You start with no money, you start with no savings. At the end of the week you still have no money and no savings.
I agree, it can be argued that entertainment is a waste; but it is good for the mind and body and gives you an escape from the day to day drudgery of life on the minimum wage.
I've been worse than poor, extremely poor. All I am saying is personal responsibility counts, and it is valuable to teach people how to improve themselves financially. You can replace entertainment spendings with trips to the library and nature walks. Both are probably better for you anyway. Hobbies are also very cheap in most cases as well, and you might learn some skills you can make more money with. I trust citizens with cash more than I trust the government -- I think it's valuable to keep the bulk of the money in our hands.
20K a year will get you a house, all your food, and utilities in a suburb provided you buy a used car. Two people working minimum wage living together make about 32k/yr. Not living like kings or anything, but certainly not starving. Don't want to live with someone? You're economically silly, and I can't help that. The government incentivizes married couples -- at least with where the wages currently are and how taxes work. Don't hate me for stating it. I did it myself, as a young man. If I can do it then anyone can do it, it's just a technique.
That leaves about 12k a year to save or blow. Personally, I recommend putting the max in your IRA because it reduces your taxes, and if you have a 401k with matching top that puppy out too -- few things give 100% return on investment... You should have about 40-50k in holdings in ten years, and you won't be poor. If you get fired, have to move, or have to do anything else your nest egg is huge. That's not even counting any raises. In 15 years, even if you never switched jobs you'd have a net worth around 90k. Poor is a nearly a mental condition, and we should deal with it.
How to lose the most money: vices. If you drink, smoke, do weed, or whatever that's where at least 15-20% of your cash is going. The sooner you quit the better off you will be.