Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as their 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?
A. 250 students.
B. 200 students.
C. 50 students.
D. 124 students.
Let's solve the problem using a proportion.
Let the number of students who choose band be x. Since there are four times as many seats in choir as in band, the number of students who choose choir is 4x.
The total number of students is the sum of the students who choose band and the students who choose choir, which is x + 4x = 250.
Combining like terms, we get 5x = 250.
Solving for x, we divide both sides of the equation by 5:
x = 250/5 = 50.
Therefore, 50 students can choose band.
The answer is option C. 50 students.