At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?
At the beginning of the school year, __________ students were in the band.
At the beginning of the school year, __________ students were in the band.
Add an Answer
More Questions From This User See All
Answers & Comments
Verified answer
Answer:
24 students
Step-by-step explanation:
Let x be the number of students in the band and in the choir at the beginning of the school year.
At the end of the school year,
No. of students in the band = x - 8
No. of students in the choir = x - 4
x - 4 = (1 + 0.25)(x - 8)
x - 4 = 1.25(x - 8)
x - 4 = 1.25x - 10
10 - 4 = 1.25x - x
6 = 0.25x
=> x = 24 students