Weekly donation split among a changing crowd

Each week you hand out the same total amount, shared equally among whoever asks. Had $5$ fewer people asked next week, each would get $2 more than this week's amount. In fact $4$ more people asked next week, and each got $1 less than this week. How much did each person get this week?

$6. With total $a$ and $n$ people, $\tfrac{a}{n-5}=\tfrac an+2$ gives $5a=2n(n-5)$ and $\tfrac a{n+4}=\tfrac an-1$ gives $4a=n(n+4)$. Solving, $n=20$ and $a=120$, so this week each got $120/20=6$ (check: $120/15=8$, $120/24=5$).