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)

250 students

200 students

124 students

50 students

1 answer

Since there are four times as many seats in choir as there are in band, and we know the total number of students is 250, we can set up the following proportion:

x (number of students in band) / 4x (number of students in choir) = 1/4 (proportion of seats in band to choir)

To solve for x, we can cross-multiply:

4x = 1/4 * 250
4x = 62.5
x = 62.5 / 4
x ≈ 15.625

Since we can't have a fraction of a student, we round down to the nearest whole number:

x ≈ 15

Therefore, approximately 15 students can choose band as their elective.