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?
250
50
124
200
Let's represent the number of seats in band as "b" and the number of seats in choir as "c".
We are given that there are four times as many seats in choir as there are in band. This can be expressed as a proportional relationship: c = 4b.
We also know that the total number of students is 250. So, the number of students in band plus the number of students in choir would equal 250: b + c = 250.
We can now solve the system of equations by substitution. Substitute the value of c from the first equation into the second equation:
b + 4b = 250
Simplify the equation:
5b = 250
Divide both sides by 5:
b = 50
So, there are 50 seats in band.
Therefore, the answer is 50 students can choose band.