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)

Question

Responses

200 students
200 students

124 students
124 students

50 students
50 students

250 studen

right answer please

Answer 1

To solve this problem using proportional relationships, we can set up the proportion:

number of band seats : number of choir seats = number of band students : number of choir students

Let's start by defining the number of band seats as "b" and the number of choir seats as "c". We are given that there are four times as many choir seats as band seats, so we can say that:

c = 4b

Now, we also know that the total number of students is 250. Thus, the number of band students + the number of choir students must equal 250:

b + c = 250

Since we know c = 4b, we can substitute it into the equation:

b + 4b = 250

Combining like terms, we get:

5b = 250

Now, we can solve for b by dividing both sides by 5:

b = 50

Therefore, there are 50 students who can choose band as their elective.