It's certainly the case in the US for many people, why would it not be in the UK?
1. https://en.wikipedia.org/wiki/Minimum_wage_in_the_United_Sta...
I can easily believe someone in such a position would jump (well, politely queue, they are British) at a chance for a "mere" few thousand.
Even at the minimum legal level and without a raft of government hands outs which a person could expect its maybe 6-7 weeks salary.
If we take the average salary then take home per month is pocket change short of $3000