It depends on a lot of factors. How many animals? DG or PG? Is it a cull hunt? I think this would be more accurate if asked "how many shots per animal".
I've seen my wife drop a kudu at 100 yards with one shot. It was preceded by two shots at the range. For her a total of three, but only one at game.
For me, I believe I averaged 2 or 3 shots per animal on 9 animals. First shot, a follow up if it ran and I had a clear (and safe) shot. Then maybe a finishing shot if the PH asked for it. In all cases, I believe my first shot would have been sufficient to down the animal, but when you are talking about a trophy fee, things are different. If they are still upright and moving, I'll keep shooting.
I'm guessing close to 30 shots including the two the PH wanted to see at the range. I remember that I took 60 cartridges, but only came home with one box. I gifted the balance to my PH.
I'll call it less than 30 for both of us, not including shots at the range.
For an upcoming buffalo hunt I'm only taking 30 cartridges, 20 softs and 10 solids. I expect to use a total of 3 or less on the buff, but there's always room to add an animal or two.