The average test score of a class was 65 marks. After three students who scored an average marks of 94 marks transferred out of the class, the average score of the remaining students became 62 marks. How many students were there in the class at first?
| |
(1) |
(2) |
| Number |
1 u |
1 u - 3 |
| Value |
65 |
62 |
| Total value |
65 u |
62 u - 186 |
Number of students at first = 1 u
Total score at first
= 1 u x 65
= 65 u
Total score of the 3 students
= 3 x 94
= 282
Total marks scored after 3 students transferred out
= 62 x (1 u - 3)
= 62 u - 186
65 u - 282 = 62 u - 186
65 u - 62 u = 282 - 186
3 u = 96
1 u = 96 ÷ 3 = 32
Number of students in the class at first
= 1 u
= 32
Answer(s): 32
