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

124 students

250 students

50 students

Answer 1

Let \( b \) represent the number of students choosing band. According to the problem, there are four times as many seats in choir as in band, so the number of students choosing choir would be \( 4b \).

The total number of students is given as 250, so we can set up the following equation:

\[ b + 4b = 250 \]

Combining the terms:

\[ 5b = 250 \]

Next, we solve for \( b \):

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

Thus, the number of students who can choose band is 50 students. The correct response is:

50 students.