the high school marching band rehearses with either 6 or 10 members in every line.What is the smallest number of people who can be in the marching band?

Respuesta :

The high school marching band rehearses with either 6 or 10 members in every line.What is the smallest number of people who can be in the marching band?

Answer:

The smallest number of people who can be in the marching band are 30.

Step-by-step explanation:

The high school marching band rehearses with either 6 or 10 members in every line.

To get the smallest number of people who can be in the marching band, we will find the LCM of 6 and 10.

6 = 2 x 3

10 = 2 x 5

The LCM is 2 x 3 x 5 = 30.

Hence, the smallest number of people who can be in the marching band are 30.

If the students are 6 in each line, then there will be 5 lines in total.

If the students are 10 in each line, there will be 3 lines in total.

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