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

200 students
200 students

50 students
50 students

250 students
250 students
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Answer 1

Let the number of seats in band be represented by \( b \). Then, according to the problem, the number of seats in choir will be \( 4b \) because there are four times as many seats in choir as there are in band.

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

\[ b + 4b = 250 \]

Combining like terms, we have:

\[ 5b = 250 \]

Now, divide both sides of the equation by 5:

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

Thus, the number of students that can choose band is 50 students.

The correct response is:

50 students.