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
124 students
124 students
250 students
The correct answer is 50 students.
Let's set up a proportion to solve the problem:
Number of band seats / Number of choir seats = Number of band students / Number of choir students
Since there are four times as many seats in choir as there are in band, the ratio of band seats to choir seats is 1:4.
Let x represent the number of band students.
So the number of choir students would be 4x.
The total number of students is 250, so we can set up the equation:
x + 4x = 250
5x = 250
x = 50
Therefore, 50 students can choose band.