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