Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)

Question

Responses

124 students
124 students

200 students
200 students

250 students
250 students

50 students

Answer 1

Since there are four times as many seats in choir as there are in band, we can set up the following proportional relationship:

Band seats : Choir seats = 1 : 4

Let's represent the number of band seats as x:

x : 4x = 1 : 4

To find the value of x, we can cross multiply:

4x = 1 * x
4x = x

Dividing both sides by x:

4 = 1

Since this equation is not true, we can conclude that there is an error in the provided information. Thus, we cannot determine the number of students who can choose band based on the given information.