Question

1. of the students in the marching band, 55% plan to go to the school dance. if there are 110 students in the marching band that are going to the dance, how many students are in the marching band?

Explanation:

Step1: Define the variable

Let \( x \) be the total number of students in the marching band.

Step2: Set up the equation

We know that 55% of \( x \) is equal to 110. Mathematically, this can be written as \( 0.55x = 110 \) (since 55% is equivalent to 0.55 in decimal form).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.55: \( x=\frac{110}{0.55} \)
Calculating the right - hand side, \( \frac{110}{0.55}=200 \)

Answer:

The total number of students in the marching band is 200.