Yeah I have a similar student for Legal Studies as well and I got upset with myself initially. But it's not worth it. What I do is I tell them straight up (eg. when they haven't done a piece of homework) that they're wasting their money if they aren't doing the work and it doesn't affect me at all if they don't do the work (a gentle way of saying 'your loss') and the first time I did it, and showed a little bit of apathy, they actually did the work.
When you put the burden ON THEM, they will naturally do the work because at the moment, there seems to be some sort of power imbalance (ie. you seem to be putting more effort than the student). Generally, a tutor who knows the course well should never be putting more effort than the student.
Also, if you tell them they are wasting their money, they are also more likely to do the work because ultimately they care about how much they are paying you. You may run the small risk of losing the student, but I think the outcome is worth it. Just my two cents!