Question

While performing a piece of music, Reagan strikes the cymbals every 5 beats and the triangle

is every 10 beats. If she just struck both at the same time, how many beats will pass before
she again strikes them at the same time?

Answer 1

The least common multiple (LCM) of 5 and 10 is 10. Reagan will strike both the cymbals and triangle at the same time every 10 beats.

Step-by-step explanation:

Let's find the least common multiple (LCM) of 5 and 10, which will give us the number of beats that will pass before Reagan strikes both the cymbals and triangle at the same time.

The prime factors of 5 are 5, and the prime factors of 10 are 2 and 5.

Since 5 is already a factor of 10, we only need to consider the prime factor of 2 once.

The LCM of 5 and 10 is therefore 2 * 5 = 10. This means that Reagan will strike both the cymbals and triangle at the same time every 10 beats.

Learn more about Finding the least common multiple (LCM) to determine when two events occur simultaneously