In an examination hall 144 people were present. of these 1/2 were boys and of them 4/9 were girls. The rest were teachers. How many students were there in the hall?
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Step-by-step explanation:
Given:–
In an examination hall 144 people were present. of these 1/2 were boys and of them 4/9 were girls. The rest were teachers.
To find:–
How many students were there in the hall?
Solution:–
Given that
Total number of people were present in the examination hall = 144
Number of boys = 1/2 of the total people
=> (1/2)×144
=> 144/2
=> 72
Total number of boys = 72
Total number of girls = 4/9 of the total people
=> (4/9)×144
=> (4×144)/9
=> 4×16
=> 64
Number of girls = 64
Total number of boys and girls = 72+64 = 136
Total number of teachers
=> 144-136
=>8
Number of teachers = 8
(or)
Total people present in the examination hall
=> boys+girls+teachers
=> (144/2)+(4×144/9)+ Teachers = 144
=> Teachers = 144 – (144/2)-(4×144/9)
=> Teachers = 144 -72-64
=> Teachers = 144 – 136
Number of teachers = 8
Answer:–
Total number of students were present in the examination hall = 136