In the high school band there are 2 percussionists on the sidelines to every 13 marching instruments. If the high school band has 180 total members then how many percussionists are on the sidelines

Answer: [tex]24\ percussionists[/tex]Step-by-step explanation: Let be "x" the number of percussionist that are on the sidelines.The procedure to find "x" is: 1. There are 2 percussionists on the sidelines to every 13 marching instruments, then the sum is: [tex]2+13=15\ members[/tex] 2. Knowing that the high school band has 180 total members, you can write the following proportion: [tex]\frac{2}{15}=\frac{x}{180}[/tex] 3. Finally, you must solve for "x" in order to find its value: [tex](180)(\frac{2}{15})=x\\\\x=24[/tex] Therefore, there are 24 percussionists on the sidelines.