Q: John and James decided to have a dance-off. John danced for 3 hours and then another 5 hours after taking a 1-hour break. James danced the whole time John was dancing and resting, and then another 1/3 times more hours. How long was their combined dancing time without including John's break time?
A: John dances 3 + 5 = 8 hours. John's total time is 3 + 5 + 1 = 9 hours. James dances 9 / 3 = 3 hours longer than that. So James dances 9 + 3 = 12 hours. So the total dancing time is 8 + 12 = 20 hours. The answer is 20.

Q: Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?
A: Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step. The answer is 4.

Q: The gummy bear factory manufactures 300 gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes?
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = 6 packets of gummy bears per minute. It would take 240 / 6 = 40 minutes to manufacture enough gummy bears to fill 240 packets. The answer is 40.