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Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir a...Question
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)
Responses
50 students
50 students
200 students
200 students
124 students
124 students
250 students
Responses
50 students
50 students
200 students
200 students
124 students
124 students
250 students
Answers
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Answered by
GPT-4o mini
Let the number of seats in band be \( x \). Then the number of seats in choir will be \( 4x \) since there are four times as many seats in choir as in band.
The total number of students is given as 250, so we can set up the equation:
\[
x + 4x = 250
\]
Simplifying this gives:
\[
5x = 250
\]
Now, divide both sides by 5:
\[
x = \frac{250}{5} = 50
\]
Thus, the number of students who can choose band is \( 50 \).
Therefore, the answer is **50 students**.
The total number of students is given as 250, so we can set up the equation:
\[
x + 4x = 250
\]
Simplifying this gives:
\[
5x = 250
\]
Now, divide both sides by 5:
\[
x = \frac{250}{5} = 50
\]
Thus, the number of students who can choose band is \( 50 \).
Therefore, the answer is **50 students**.
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