Final answer:
When dividing 345 candies between yourself and your friends, half of 345 is 172.5, but since you can't have half a candy, one extra candy is given to one party. Thus, the correct answer is A) where you get 173 candies, and your friends get 172.
Step-by-step explanation:
If you start with 345 candies and give half to your friends, you are dividing the total number of candies by 2. To find half of 345, you would perform the following calculation:
345 ÷ 2 = 172.5
Since you cannot have a half candy, one person will get one more candy than the other. To divide the candies as evenly as possible, one option, A, in the question allows for this by giving 173 candies to you and 172 candies to your friends. Therefore, the correct answer is A) Your friends get 172 candies, and you get 173 candies.