Question

while performing a piece of music, katie strikes the cymbals every 4 beats and the triangle is every 3 beats. if she just struck both at the same time, how many beats will pass before she again strikes them at the same time?

beats

Explanation:

Step1: Identify the problem type

We need to find the least - common multiple (LCM) of 3 and 4.

Step2: List the multiples

Multiples of 3: 3, 6, 9, 12, 15, ...
Multiples of 4: 4, 8, 12, 16, 20, ...

Step3: Determine the LCM

The first common multiple of 3 and 4 is 12.

Answer:

12