I think that people need to get out of the mindset that any disadvantaged child can become an "advantaged" adult. It can happen but is very rare and usually requires a fluke event like a particularly driven and gifted child or unexpected large amount of money.
It usually takes more than one generation to get a family out of poverty. If a child is born in a highly disadvantaged background, the best they can hope for is to improve their situation slightly for their own kids. If these caretaker generations all play their part, in three or four generations they will be out of poverty. Of course there is a real danger that one of the links in the chain will break, they do not do their best for their children and grandchildren, and the clock is reset.
For example:
Generation 1 - child raised in abject poverty, parents unemployable, no money. Poor education but if they work very hard they may be able to get a low-skilled job like cleaning or supermarket work so...
Generation 2 children are raised in a slightly better environment. They are not so hungry so can focus on their schoolwork and grow up to get a better job, admin or something.
Generation 3 have better opportunities to learn. They might go to university, they certainly have the books and equipment they need so might be able to get a professional qualification and so...
Generation 4 is raised in an advantaged environment. Their parents are educated and know from experience how to raise their kids to better themselves.
It requires a different mindset to the "me, me, me, now, now, now" one that is prevalent. Multiple generations of a family need to be willing to work towards a better future down the line, knowing that they themselves may never live to see it.
If it was easy - or even realistic - to get out of poverty in one generation, everyone would be doing it. Both as individuals and as a society we need to develop a more long term focus - how can we eradicate child poverty by the end of the century for example. Unfortunately the political system requires instant gratification and long term goals are not accepted by the public.