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Answer

(a)

Teacher : students = 6 : 7 = 24 : 28

Male teacher : Female teacher = 3 : 5 = 9 : 15

Note 9 + 15 = 24

Male teacher : Female teacher : students = 9 : 15 : 28

(b)

Number of students before some leaving the hall = 126/24 * 28 = 147

If u students left the hall, there were (147 -u) students left.

Total people remained in the hall = 126 + 147 – u = 273 -u

Given the ratio of students remained : people remained = 4 : 11

4( 273 – u) = 11 ( 147-u)

1092 – 4u = 1617 – 11u

7u = 525

u = 75

75 students had left the hall.

 

Check: 147 – 75 = 72

273 – 75 = 198

72/198 = 4/11 checked.

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