Step-by-step explanation:
find the best fitting common multiple between 12 and 8.
let's start with the basic
8×12 = 96
96 fits 3 times into 300 with a remainder of 12.
so, 96 × 3 = 288
that means 288/12 = 24 packages of hot dogs and 288/8 = 36 packages of buns to create exactly 288 hot dogs.
any packages more or less would make the number of available buns and hot dogs "uneven".