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

124 students
124 students

250 students
250 students

50 students
50 students

200 student

Answer 1

Let's define the number of seats in band as \( b \) and the number of seats in choir as \( c \). According to the problem, we have:

1. \( c = 4b \) (because there are four times as many seats in choir as in band)
2. The total number of students (or seats) is 250, so \( b + c = 250 \).

Now, we can substitute \( c \) from the first equation into the second equation:

\[ b + 4b = 250 \]

This simplifies to:

\[ 5b = 250 \]

Now, divide both sides by 5:

\[ b = 50 \]

Therefore, the number of students who can choose band is 50 students.

So the correct response is:

50 students