Spike that is at current levels though and will be reduced come April and every year thereafter, then significantly reduced come the introduction of Universal Credit. And of course the HB cap means that some families may be using at least 20% of that income as top-up for rent, etc.
Don't assume that the 2-parent model I've given you is composed of people who've never had a job and don't want one.
Many will be desperate for a job and did have a job til the recession took it from them. Should they be penalised for it? It makes more economic sense to support people to continue their normal lifestyle for the short-term until they can get back on their feet, rather than taking it all away so they lose their home and need rehousing, etc. That actually costs more money.
Some will be unable to work because they are caring for other members of the family. That's a valuable role that deserves a decent standard of living.
Single people with no children claiming benefits will get £64 per week to live off, so nowhere near that amount.
Single mothers will have to juggle working with childcare, which will eat into their income even if they qualify for help (the rate is reduced from 70% as soon as you start earning more than NMW). If they live on benefits they are 2x more likely than others to be living in poverty.
I wouldn't deny that there are very many working poor who have less income than that after paying their rent. It is true that some people on benefits have more money than those who work.
I still wouldn't want to change places with them though. They have to deal with the insecurity of knowing it could all be taken away at any time and other people's low opinion of them. For some people, that's as good as it's ever going to get, while for those in work there is always the opportunity for things improving, however unlikely it may seem at the time.
The truth is it's hard whether you're working poor or benefit poor. Both have to struggle and shouldn't be fighting over the scraps but uniting and fighting for a better redistribution of wealth and a fairer society.
It just cannot be right that last year the richest section of society saw their salaries rise 18x more than those at the bottom. It cannot be right that the top 10% of the country own 90% of it's assets. It cannot be right that the divide between rich and poor (and I include most working people in this) is bigger now that at any time in the last 40 years.
Cutting benefits may give the working poor or even the squeezed middle short term satisfaction that someone is suffering more than they are, but it won't improve their own lives. Taxation won't be cut for them and housing/commuting/childcare costs will continue to rise because the rich aren't affected by these things and therefore will not have the drive to bring them down - indeed in some cases they will fight to increase prices since housing and commuting generate a lot of wealth for those who own them.