it's not school food making them fat.
It's parent spending money on highly taxed cigarettes, sports clothes and lottery tickets then moaning that all they can feed their kids is processed shit. Ban cigarettes entirely, stop the lottery and give benefit claimants vouchers rather than cash and health problems will decline instantly.
This comes from experience working in schools (I do part time reading with primary school children). The unhealthy kids with poor education smell of cigarettes and are on benefits WITHOUT EXCEPTION.