I do have one friend who gets just £17 a week IS.
Her employed partner left. She contacted TC's, as she had no access to their TC's that were paid into his acc as she had no ID to open a bank acc. It took them 8 weeks to stop paying the CTC into his acc, and to start paying her by Giro. During those 6 weeks, she had to get 'hardship payments' of £50 a week from HMRC. She is now paying THOSE back at £10 a week from her CTC.
It took them 7 weeks to get her IS claim processed. In that time, she had 7 weeks worth of money paid as crisis loans.
She had to move out of the Private Rented house she was in as her LL refused to accept a Tenant on HB. (Her bastard Ex moved his bit of fluff in there the same day, he can pay as he works!)
She is currently in B&B. Her rent is £300 a week, for a single room for her and her 3 DC. As she is only entitled to 2-bed Social housing (3 boys), the council will only pay £595 pcm LHA, leaving a shortfall of £705 pcm. So every month she is in temp accommodation, she is trying to find MORE money on her top-up than she has COMING IN. She's already been in there for 3 months, and the council have told her even in band A, there is a 1 yr wait for 2-bed Social housing, in the area she HAS to stay due to a PSO handed out by the most mysoginistic judge ever that delights in ruining many a local mother's life by tying them to ONE ESTATE so their darling daddies can pick them up from school without having to pay bus fares or petrol money.
In the B&B, she cannot be in from 10am till 5pm, so out all day. Has no cooking facilities, and breakfast ISN'T provided (so B&B for temp accommodation is a bit of a misnomer, tbh). She has to pay to sit in soft play with her DC when all her friends are out, and it's raining. She has to pay for lunches outside as there is no food storage facilties.
She has to pay for her DC's bus fares to school, as the B&B is 2.9 miles from the school as the crow flies. Though by bus route it is closer to 6 miles, and charged as such.
You tell her how she is meant to cover the rent top-up from her benefits, and still feed her DC's and pay to get them to school when the top-up is MORE THAN SHE GETS IN BENEFITS. She chose NONE of this!