Python 2, 95 71 70 bytes
lambda l,s:min(sum(s.count(c)for s in l)/s.count(c)for c in s if" "<c)
Input: A list of strings as ingredients l, and a string as the meal s.
Output: Max number of meals that can be made.
How: Divides the frequency of each character in the ingredient by its corresponding character in the meal, then take the minimum.