If you look on the driver side door frame you'll spot the type size pressure sticker nr the bottom. The alternative size for the jazz being 175 65 15 thereby giving better value option . A search on E bay or even better your local breakers yard may well find a set of used wheels tyres
Although this does sound a drastic option it has advantages. There is a bigger choice of 15" tyres and they can be significantly cheaper than any 16" option.Even after the cost of some used 15" rims.
But also long term advantages. They could save 16" alloys from damage from salt and kerbing. Damaged alloys can knock a lot off trade in value. Having the tread wear from two sets of wheels may mean you dont have to buy a further set of new tyres just before you sell the car Trading a car in with nearly new tyres doesnt add much ,if anything, to its value. And when you sell the car you keep one set of wheels and tyres. They may fit your next car,and you can continue the same advantages. . Or you can sell them .either the 15" set or 16" depending on the relative value of the car etc. You may not get much for them but a few quid is better than nothing.
When I converted to all seasons on my Yaris I had 2 almost new premium brand summer tyres . I got them put on tatty rims. I sold them on E bay, for £30 , buyer collect ,to someone who needed to pass the MOT. Saved him spending £100+ on two budget tyres.