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?

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.