The average test score of a class was 65 marks. After two students who scored an average marks of 93 marks transferred out of the class, the average score of the remaining students became 63 marks. How many students were there in the class in the end?
| |
(1) |
(2) |
| Number |
1 u |
1 u - 2 |
| Value |
65 |
63 |
| Total value |
65 u |
63 u - 126 |
Number of students at first = 1 u
Total score at first
= 1 u x 65
= 65 u
Total score of the 2 students
= 2 x 93
= 186
Total marks scored after 2 students transferred out
= 63 x (1 u - 2)
= 63 u - 126
65 u - 186 = 63 u - 126
65 u - 63 u = 186 - 126
2 u = 60
1 u = 60 ÷ 2 = 30
Number of students in the class in the end
= 1 u - 2
= 30 - 2
= 28
Answer(s): 28
