The average test score of a class was 61 marks. After three pupils who scored an average marks of 96 marks transferred out of the class, the average score of the remaining pupils became 54 marks. How many pupils were there in the class at first?
|
(1) |
(2) |
Number |
1 u |
1 u - 3 |
Value |
61 |
54 |
Total value |
61 u |
54 u - 162 |
Number of pupils at first = 1 u
Total score at first
= 1 u x 61
= 61 u
Total score of the 3 pupils
= 3 x 96
= 288
Total marks scored after 3 pupils transferred out
= 54 x (1 u - 3)
= 54 u - 162
61 u - 288 = 54 u - 162
61 u - 54 u = 288 - 162
7 u = 126
1 u = 126 ÷ 7 = 18
Number of pupils in the class at first
= 1 u
= 18
Answer(s): 18