The average test score of a class was 58 marks. After two students who scored an average marks of 92 marks transferred out of the class, the average score of the remaining students became 56 marks. How many students were there in the class at first?
|
(1) |
(2) |
Number |
1 u |
1 u - 2 |
Value |
58 |
56 |
Total value |
58 u |
56 u - 112 |
Number of students at first = 1 u
Total score at first
= 1 u x 58
= 58 u
Total score of the 2 students
= 2 x 92
= 184
Total marks scored after 2 students transferred out
= 56 x (1 u - 2)
= 56 u - 112
58 u - 184 = 56 u - 112
58 u - 56 u = 184 - 112
2 u = 72
1 u = 72 ÷ 2 = 36
Number of students in the class at first
= 1 u
= 36
Answer(s): 36