The average test score of a class was 64 marks. After three pupils who scored an average marks of 97 marks transferred out of the class, the average score of the remaining pupils became 55 marks. How many pupils were there in the class at first?
|
(1) |
(2) |
Number |
1 u |
1 u - 3 |
Value |
64 |
55 |
Total value |
64 u |
55 u - 165 |
Number of pupils at first = 1 u
Total score at first
= 1 u x 64
= 64 u
Total score of the 3 pupils
= 3 x 97
= 291
Total marks scored after 3 pupils transferred out
= 55 x (1 u - 3)
= 55 u - 165
64 u - 291 = 55 u - 165
64 u - 55 u = 291 - 165
9 u = 126
1 u = 126 ÷ 9 = 14
Number of pupils in the class at first
= 1 u
= 14
Answer(s): 14