Final answer:
Using the Least Common Multiple (LCM) of 8, 10, and 12, which is 120, and adding the remainder of 4 chocolates, the smallest number of chocolates in the box is 124.
Step-by-step explanation:
To solve the initial problem, we need to find the smallest number of chocolates that when divided by 8, 10, or 12 children, always leaves 4 bars of chocolates. This problem involves finding the Least Common Multiple (LCM) of the divisors 8, 10, and 12, and then adding the remainder, which is 4, to it.
- Find the LCM of 8, 10, and 12 which is 120.
- Add the remainder to the LCM: 120 + 4 = 124.
Therefore, the smallest number of chocolates in the box is 124.