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 they are in band. How many students can choose band if there’s a total of 250 students.
Let's assume the number of seats in band is x.
According to the problem, the number of seats in choir is four times that of band, so the number of seats in choir is 4x.
The total number of seats in both band and choir is given as 250, so the equation becomes:
x + 4x = 250
Combining like terms, we have:
5x = 250
Now, solving for x, we divide both sides of the equation by 5:
x = 250/5
x = 50
Therefore, there are 50 seats in band, so 50 students can choose band as their elective.