There were some students in the school hall.
(a) At first, the number of boys was 1/4 the number of girls.
Then, 1/3 of the boys and 1/2 the girls went home. A total of 84 students went
home. How many students were there in the school hall at first?
(b) The number of students at first was 3/2 times the number of teachers.
How many teachers were in the school hall?
b = 1/4 g
1/3 b + 1/2 g = 84
1/3 (1/4 g ) + 1/2 g = 84
7/12 g = 84
g = 144 then b = 36 b + g = _______________
The number of students at first was 3/2 times the number of teachers.
How many teachers were in the school hall?
given, number of students at first
= 3/2 times the number of teachers
=> number of teachers = 2/3 number of students
= 2/3 * 180 = 2 * 60 = 120
So there were 120 teacher in the school hall