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

124 students
124 students

200 students
200 students

50 students
50 students

250 students

1 answer

The ratio of choir seats to band seats is 4:1. This means that for every 4 choir seats, there is 1 band seat.

Since the total number of seats is 250, we can set up the equation:

4x + x = 250

Simplifying the equation:

5x = 250

Dividing both sides by 5:

x = 50

Therefore, there are 50 band seats available.

The correct answer is:

50 students