According to the information given, the number of seats in choir is four times the number of seats in band. Therefore, the ratio of the number of seats in choir to the number of seats in band is 4:1.
To solve the problem, we can set up the proportion:
Number of seats in choir / Number of seats in band = 4 / 1
Let's represent the number of seats in band as x. Therefore, the number of seats in choir is 4x.
Since the total number of students is 250, we can set up another proportion:
Number of students in choir / Number of students in band = (Number of seats in choir) / (Number of seats in band)
Number of students in choir / Number of students in band = (4x) / x
Number of students in choir / Number of students in band = 4
Now, let's substitute the total number of students into the second proportion:
Number of students in choir / Number of students in band = 4
Number of students in choir / x = 4
Number of students in choir = 4x
Since the total number of students is 250, we can substitute this information into the equation:
250 / x = 4
Cross multiplying, we get:
4x = 250
Dividing both sides by 4, we find:
x = 62.5
Since we can't have a fraction of a student, we must round the answer down to the nearest whole number. Therefore, the number of students that can choose band is 62.
So, the correct answer is 50 students.
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)
250 students
200 students
124 students
50 students
Pick an answer CHOICE.
1 answer