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

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