The average test score of a class was 56 marks. After five students who scored an average marks of 92 marks transferred out of the class, the average score of the remaining students became 53 marks. How many students were there in the class in the end?
| |
(1) |
(2) |
| Number |
1 u |
1 u - 5 |
| Value |
56 |
53 |
| Total value |
56 u |
53 u - 265 |
Number of students at first = 1 u
Total score at first
= 1 u x 56
= 56 u
Total score of the 5 students
= 5 x 92
= 460
Total marks scored after 5 students transferred out
= 53 x (1 u - 5)
= 53 u - 265
56 u - 460 = 53 u - 265
56 u - 53 u = 460 - 265
3 u = 195
1 u = 195 ÷ 3 = 65
Number of students in the class in the end
= 1 u - 5
= 65 - 5
= 60
Answer(s): 60
