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 paint) 124 students 250 students 50 students 200 students
Let's represent the number of seats in band as "x". Since there are four times as many seats in choir as there are in band, the number of seats in choir can be represented as "4x".
The total number of students is given as 250.
According to the problem, the number of students who can choose band should be equal to the number of seats in band.
So we can set up a proportion:
x / 250 = x / 4x
Cross multiplying, we get:
4x^2 = x * 250
Simplifying the equation, we have:
4x^2 = 250x
Dividing both sides by x, we have:
4x = 250
Dividing both sides by 4, we have:
x = 250 / 4
x = 62.5
Since we can't have a fraction of a seat, the number of students who can choose band is 62.5, rounded to the nearest whole number, which is 63.
Therefore, 63 students can choose band.