Question

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

250 students
250 students

200 students
200 students

124 students
124 students

50 students

1 answer

Let's denote the number of seats in band as \( x \). Since there are four times as many seats in choir, the number of seats in choir would be \( 4x \).

According to the problem, the total number of seats available in both band and choir is 250. This can be expressed with the equation:

\[ x + 4x = 250 \]

Combining the terms, we get:

\[ 5x = 250 \]

To find \( x \), we can divide both sides by 5:

\[ x = \frac{250}{5} = 50 \]

So, there are 50 seats in band. This means the number of students that can choose band is 50 students.

The correct response is:

50 students