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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

1 answer

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.