High School

A cuckoo clock has birds that pop out of their nest every 8 minutes and dancers that appear every 12 minutes. The birds and dancers have just popped out at the same time. When will this happen again within the next 60 minutes?

Answer :

Final answer:

In the scenario of cuckoo clock, the birds and the dancers will pop out simultaneously every 24 minutes, during a 60-minute time frame, this happens twice.

Explanation:

This problem is about finding the least common multiple (LCM) of the two given numbers. In a cuckoo clock, the birds pop out every 8 minutes, and dancers appear every 12 minutes. To find out when both the birds and dancers will pop out again at the same time, we need to calculate the LCM of 8 and 12. The LCM of 8 and 12 is 24. This means the birds and dancers will both pop out again at the same time 24 minutes after they are equally out. In the 60 minute time frame, this event will happen twice, at 24 minutes and at 48 minutes.

Learn more about Least Common Multiple here:

https://brainly.com/question/34291727

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