I would replace the sprockets w/ the new chain,but you could just throw a cheap chain on there and get a season's worth of wear on it and then replace the chain and sprockets;that's what I would do if i was going to run that bike in the Fall,Winter & Spring as transportation.
They look a little worn, but not too bad. I'd just clean them up and put a new chain on it. I NEVER replace sprockets every time I replace the chain. On a well-maintained street bike with steel sprockets, a standard chain will wear out much faster than the sprockets. Just examine the sprockets from time to time and replace them if the teeth start showing signs of hooking.
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