1 Answers
Option 3 : 78.96
Given:
The number of students in class A is 42 and the average is 79
The number of students in class B is 38 and the average is 76
The number of students removed from class A is 5 and
The average marks of class A is increased by 3
Formula used:
Average marks of students = Total marks of students/Total number of students
Calculation:
Initially the number of students in class A = 42
Now, According to the question,
⇒ Total number of students in class A after removing 5 students = 37
⇒ The new average marks of students = (79 + 3) = 82
⇒ Total new marks of class A students = 37 × 82 = 3034
The number of students in class B is 38 and the average is 76
⇒ Total marks of class B students = 38 × 76 = 2888
The new average marks of students = Total marks of students/Total number of students
⇒ (3034 + 2888)/(37 + 38)
⇒ 5922/75
⇒ 78.96
∴ The new average marks of class A and class B is 78.96