Assuming general stovetop cookware, rather than specific sauce pans. More than many restaurants.
As older relatives died all the good stuff in the houses was taken(including cast-iron pans) and the rest of the back-up, damaged, or worn out cookware was boxed up and moved to a basement. Over time this conglomerated at other basements as more people moved or died this eventually ended up as many large boxes at my parents house. When they moved, I was the closest around(and no way in hell was anybody going to sort through it or just throw it out, because depression in the '20s) so I got all the boxes. Plus I once rented a huge house,and had many roommates through about 10 years, who often left stuff behind, plus all of my own upgrades, and experiments in cookware over the years I probably have 500+ pounds of various stuff designed to be set on burners. 3/4 of it is total crap, and the rest is about 8 pieces I use regularly, maybe 6 more used occasionally, or backup. And somewhere in some of those boxes are probably very cool things, that will not be seen till after I die
I was going to say I had only 1, but I guess I have 3. And yes, they came as a set. I have never used any of them to make a “sauce”. At least not one that is separate from the dish it is part of.
The small one, I use for heating up left-overs. The large one I use for making popcorn. The medium one also makes popcorn (if I feel like not having too much) and sometimes I use it to cook udon.
I have three proper saucepans (scr4 def) that I regularly use (one with a matching lid), another larger one for boiling pasta water, an old-fashioned pressure cooker which can be used for a very large one, and two frying pans, including a cast-iron. All are quite old but still very serviceable, none are teflon (any more). Only three of them get near-daily use.
There are 2 that came in an All Clad set that I bought a few years ago, and 3 from the Revere Ware set I got when I got married. Plus one little nonstick one with a pouring spout that is very handy to heat up soup. Each of the aforementioned sets has a pot, plus I have a Le Creuset Dutch oven and a pasta pot.
I represent the true American household[sup]TM[/sup] in that I have no freaking clue how many saucepans we have.