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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?

 Sep 16, 2021
 #1
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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 = _______________

 Sep 16, 2021
 #2
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What about (b)?

Guest Sep 16, 2021
 #3
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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

Guest Sep 16, 2021

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