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

250 students
250 students

124 students
124 students

200 students
200 students

50 students

Answer 1

The correct answer is 50 students. Since there are four times as many seats in choir as there are in band, we can set up a proportion:

Band seats : Choir seats = Band students : Choir students

Let's represent the number of band seats as x. Therefore, the number of choir seats would be 4x.

So, our proportion becomes:

x : 4x = Band students : Choir students

We know that the total number of students is 250, so we can set up another proportion:

x + 4x = 250

5x = 250

x = 50

Therefore, 50 students can choose band as their elective.