Wow, such an interesting one you raised here. The matter about who takes care of what in the family has evolved over time.
I believe it's best couple have that conversation too before surprising anyone in the marriage later. If bills are splitted, chores must be splitted with equal proportion.
From the culture we are in, the wife is expected to cook for the family, however, with emphasize on however, in random ocassions such as sickness or any other unforeseen circumstance that might hinder the wife's cooking, I guess it wouldn't hurt for the man to step in.