Final answer:
The least number of boxes required to buy an equal number of chocolates is determined by finding the LCM of 24 and 15, which is 120. Therefore, one needs to buy 5 boxes of the 24-pack and 8 boxes of the 15-pack to have an equal amount, but since the question asks for equal boxes of each kind, the answer is 5 boxes of each kind (option c).
Step-by-step explanation:
To determine the least number of boxes required to buy an equal number of chocolates of two different brands with pack sizes of 24 and 15, we need to find the Least Common Multiple (LCM) of the two numbers.
The LCM is the smallest number that is a multiple of both pack sizes.
First, list the multiples of each number:
- Multiples of 24: 24, 48, 72, 96, 120, ...
- Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...
The first common multiple we come across is 120. Thus, we can say that if we purchase five boxes of the 24-pack chocolates and eight boxes of the 15-pack chocolates, we would have 120 chocolates of each kind (5 x 24 = 120 and 8 x 15 = 120).
Since the question asks for the minimum number of boxes of each kind needed to have an equal number of chocolates, the answer is c) 5 boxes of each kind.