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?(1 point)
Responses
124 students
124 students
50 students
50 students
200 students
200 students
250 students
To solve this problem using proportional relationships, we can set up a proportion. Let's let the number of students who choose band be represented by x.
Since there are four times as many seats in choir as in band, the number of students who choose choir will be 4x.
The total number of students is 250, so we can write the equation:
x + 4x = 250
Simplifying the equation gives us:
5x = 250
To solve for x, we can divide both sides of the equation by 5:
x = 250 / 5
x = 50
Therefore, 50 students can choose band as their elective.