Answer: Let's call the number of percussionists on the sideline "x".
Since the ratio of percussionists to marching instruments is 2 to 13, for every 2 percussionists, there are 13 marching instruments.
So the total number of band members is 2x + 13x = 15x.
We know that the total number of band members is 150, so we can write an equation to solve for x:
15x = 150
Dividing both sides by 15:
x = 10
So there are 10 percussionists on the sideline.
Explanation: