Use proportional relationships to solve this makes your problem. The incoming sixth grade class has a choice between band or choir as an elective. There are four times as many seats inquire as there are in band how many students can choose band if there is a total of 250 students.

Answer 1

To solve the problem, we can set up a proportional relationship between the number of students choosing band and the number of students choosing choir.

Let \( b \) represent the number of students in band. Since there are four times as many seats in choir as there are in band, we can express the number of students in choir as \( 4b \).

According to the problem, the total number of students is 250. Therefore, we can set up the following equation:

\[ b + 4b = 250 \]

Combining like terms, we get:

\[ 5b = 250 \]

To find the number of students in band, we can solve for \( b \):

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

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

To verify, if \( b = 50 \), then the number of students in choir would be:

\[ 4b = 4 \times 50 = 200 \]

Adding both together:

\[ 50 + 200 = 250 \]

The total is correct, confirming that 50 students can choose band.