If you've paid in to the system with NI contributions, then you get the additional state pension on top of that, which is up to £163 a week. So actually, someone who's 'worked hard all their life' and paid into the system, would be entitled to £274 a week. Or £1187.33 a month. Plus winter fuel allowance, plus any private/work based pension.
Our family bills + food for a family of 4, discounting mortgage are approximately £1,100 a month.
The pensioners who are 'poor' are those who have chosen to opt out paying SERPs (what the second state pension used to be called, reducing their NI contributions) or those who didn't work, but weren't in reciept of benefits that paid their NI for them (child benefit until your youngest was 12, carers allowance and I believe some others pay your NI for you), and then on top of that haven't made private provision.
A lot of people have cashed out their pensions, or haven't paid in over their working lives. A lot of woman get caught out having just been SAHMs then housewives when their DCs left home but without htinking it would have a knock on effect to their pension entitlement.
The basic state pension is just a minimum safety net, for those who have contributed nothing. It's interesting, it's the only benefit that the amount you get does depend on how much you've paid in to the system. I quite like that.