Use proportional relationship 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 bad. How many students can choose band if there is a total of 250 students
Let's denote the number of seats in band as 'b' and the number of seats in choir as 'c'.
According to the information given, we know that c = 4b since there are four times as many seats in choir as there are in band.
We also know that the total number of students is 250. Therefore, the number of students in band plus the number of students in choir equals 250.
Since each seat represents one student, we can write the following equation: b + c = 250.
Substituting c = 4b into the equation, we get b + 4b = 250.
Combining like terms, we have 5b = 250.
Dividing both sides of the equation by 5, we find that b = 50.
Therefore, there are 50 seats in band and since each seat represents one student, there can be a total of 50 students who choose band.