Use proportional relationships to solve this mixture problem the incoming sixth 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, is it 50 students or 124 students or 250 students or 200 students
To solve this problem, we can set up a proportion. Let's represent the number of seats in band as "x", and the number of seats in choir as "4x". According to the problem, the total number of students is 250.
We can set up the following proportion to represent the relationship between the number of seats and the total number of students:
(x seats) / (4x seats) = (number of students in band) / (total number of students)
Simplifying the proportion, we have:
1/4 = (number of students in band) / 250
To isolate the number of students in band, we can cross-multiply:
4 * (number of students in band) = 1 * 250
4 * (number of students in band) = 250
Dividing both sides of the equation by 4, we find:
(number of students in band) = 250 / 4
(number of students in band) = 62.5
Since the number of students must be a whole number, in this case, there cannot be a fraction of a student, we round down to the nearest whole number:
(number of students in band) = 62
Therefore, the correct answer is 62 students can choose band.