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 200 students 200 students 50 students 50 students 250 students 250 students 124 students
If there are four times as many seats in choir as there are in band and there are a total of 250 students, we can set up a proportional relationship:
Band seats : Choir seats = Band students : Choir students
Let's represent Band seats as "x" and Choir seats as "4x".
Band students : Choir students = x : 4x
Since there are a total of 250 students, we can set up another proportional relationship:
Band students + Choir students = Total students
x + 4x = 250
Simplifying the equation, we get:
5x = 250
x = 250/5
x = 50
So, there are 50 seats in the band.
As a result, the number of students who can choose band is 50 students.