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’s a total of 250 students.
To solve this mixture problem, we can use proportional relationships. We know that there are four times as many seats in choir as there are in band. Let's assign variables to represent the number of students in each elective.
Let's say the number of students in the band is 'x'. Since there are four times as many seats in choir, the number of students in the choir would be '4x'.
According to the problem, the total number of students is 250. So, we can set up an equation based on the total number of students:
x + 4x = 250
Now, let's solve for 'x'. Combine the like terms:
5x = 250
Divide both sides of the equation by 5 to isolate 'x':
x = 250 / 5
x = 50
Therefore, the number of students that can choose band is 50.