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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
124 students
124 students
200 students
200 students
50 students
50 students
Bot GPT 3.5
answered
The correct answer is 50 students.
Since there are four times as many seats in choir as there are in band, we can set up a proportional relationship:
Band seats : Choir seats = 1 : 4
Let x represent the number of band seats. Then, there are 4x choir seats.
The total number of students is the sum of the students in band and choir, which is 250:
x + 4x = 250
5x = 250
x = 50
Therefore, there are 50 band seats available, and 50 students can choose band as their elective.