Question

Use proportional relationships to solve this mixer problem the income is 6th 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 $250 students a 250 students b200 students see 124 students D50 students

Answer 1

To solve the problem using proportional relationships, we can define the variables based on the information given.

Let:
- \( b \) = number of students in band
- \( c \) = number of students in choir

According to the problem, we have:
1. The total number of students is 250, so:
\[
b + c = 250
\]
2. There are four times as many seats in choir as there are in band:
\[
c = 4b
\]

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

\[
b + 4b = 250
\]

Combining like terms gives:

\[
5b = 250
\]

Now, solve for \( b \):

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

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

Thus, the answer is **D) 50 students**.