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? 50 students 200 students 124 students 250 students​

1 answer

Let's represent the number of seats in band as "x". Since there are four times as many seats in choir as there are in band, the number of seats in choir would be 4x.

The total number of students is the sum of the number of students in band and choir, which is x + 4x = 5x.

We know that the total number of students is 250, so 5x = 250.

To solve for x, we divide both sides of the equation by 5: 5x/5 = 250/5.

This simplifies to x = 50.

Therefore, the number of students who can choose band is 50. Answer: \boxed{50}.