Chenzhou: Population (2001): 4,559,600; GDP (2015): ¥201 billion. For comparison, Our city: Population (2017): 1,700,000; GDP(2017): less than ¥120b.
I've searched the price of fast food restaurants in your city, the result: https://t.dianping.com/list/chenzhou-category_189
Base on that, I can see the average price is ranging from ¥13 to ¥45 ($2~7) per person. So I guess $5 is really pretty decent.
However, I have lived in few other cities in China, I know that live in another city other than your hometown is expensive, let alone when that city is in another country. Simply too many extra costs (like Rent and education).
Speak of educational cost,
> Education is super expensive if you don't have a hukou (which foreigners will never get).
It's actually location depended. You may want to talk with local schools or departments see if they can help you with it or at least give you a direction. It likely results a cold shoulder but you won't get warm one if you don't try. Plus, ask them directly is better than complaining online.
Also keep in mind, not many Chinese teacher can speak English. So.