Jesse was asked to buy [tex]n[/tex] number of eggs. However, he was not sure how many eggs he should buy because he forgot the number of remaining eggs in their fridge; he guessed that there were only 3 or 5 eggs remaining in their house.

His mom wanted to have a dozen and a quarter-dozen number of eggs to bake some sweets.

How many eggs must he buy to meet his mom's demands?