None of this is, bar the child benefit and tax credits, are relevant to my example, is it?
Funny sentence to put 'none of it' then immediately accept 2 benefits out of the 4 benefits posted are relevent, of course you forgot the free school meals etc. but never mind.
Lets try this for you £137.70 per week and children access free school meals, including breakfast club if one runs, I am not saying its easy but it isnt immediately obvious that a food bank is critical for them to feed themselves.