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
250 students
250 students
124 students
124 students
50 students
Let's set up a proportion to solve this problem:
Band seats / Choir seats = Band students / Choir students
Let's represent the number of band seats as x and the number of choir seats as 4x (since there are four times as many choir seats as band seats).
So the proportion becomes:
x / 4x = Band students / Choir students
Since there are 250 students in total, the sum of band students and choir students is 250:
Band students + Choir students = 250
We can rewrite this as:
x + 4x = 250
Simplifying, we get:
5x = 250
Dividing both sides by 5, we find:
x = 50
So the number of band students is 50.
Therefore, the correct answer is 50 students.