Help with rewriting query

Hi,
I have the following table:
person - primary key id, and some attributes
food - primary key id, foreign key p_id reference to table person.

table food store all the food that a person is eating. The more recent
food is indicated by the higher food.id.

I need to find what is the most recent food a person ate for every person.
The query:
select f.p_id, max(f.id) from person p, food f where p.id=f.p_id group
by f.p_id will work.
But I understand this is not the most efficient way. Is there another
way to rewrite this query? (maybe one that involves order by desc
limit 1)

Thank you in advance.