The difficulty is that people on this board may not be exactly representative of all/most mothers. Are there many here who use every penny they get hold of to fund drink, drugs or gambling? Probably not, but the general population has lots of negligent, feckless, or even abusive parents, whose children might well go without food regardless of the household income.
Are there many in here who cannot be bothered to lift a finger to assist with their childrens' home schooling? Apparently, the general population has a lot of mothers whose children haven't had even a single hour of the available lessons. It seems unlikely that they think ahead, plan budgets, allocate their benefits sensibly, or make good cheap nourishing meals.
There is a silly idea among politicians that 'child poverty' can be eliminated by giving women more and more money.
Another silly idea is that handing about £500 a month to one unemployed person, and up to £250 a month to the next, will hide the fact they are both out of work i.e. both unemployed. Whatever else it is, that isn't fair.
Nor is it fair that one person works, while others laze for the same money, or even more.
Nor is it fair that qualifying for one benefit is a passport to other perks, to the point where people actually pay to work.