Some rather unclear questions in your post, but I'll give my answers with the assumptions:
he has 24 parrots = 12 pairs 12 pairs x 5 hatchlings/pair = 60 hatchlings.
How many pairs?
original 12 pairs + 60 hatchlings = 42 pairs (assumng equal parts males and females in hatchlings)
" If The birds ate 3 pounds of food a week, and it takes a month to breed, how much food is needed? "
Is this how much ALL of the 24 birds eat? (...or EACH bird?)
Assuming ALL 24 birds eat 3 pounds/week and 4 weeks in a month = 12 pounds food needed.