Question

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? Use any strategy to solve.

Option 1: 200
Option 2: 150
Option 3: 100
Option 4: 120

Answer 1

To find the number of students in the marching band, you can set up a proportion using the given information and solve for the total number of students.

Step-by-step explanation:

To determine the number of students in the marching band, we can set up a proportion using the given information. We know that 55% of the students in the marching band plan to go to the school dance, and there are 110 students going to the dance. Let x represent the total number of students in the marching band.

55/100 = 110/x

Cross multiplying, we get 55x = 11000. Dividing both sides by 55, we find that x = 200. Therefore, there are 200 students in the marching band.