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)

Responses

250 students
250 students

50 students
50 students

124 students
124 students

200 students

1 answer

The correct answer is: 50 students.

If there are four times as many seats in choir as there are in band, and the total number of seats is 250, we can set up a proportional relationship:

Band seats : Choir seats = 1 : 4

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

x + 4x = 250

5x = 250

x = 50

Therefore, there are 50 band seats available for students to choose from.