Multiple choice

There were 9 boys and some girls in one class. In an examination, boys scored 13 average marks, while girls had an average score of 15. If the total average of the marks is 14.28, then what will be the total number of students in the class?

  1. 27

  2. 26

  3. 24

  4. 25
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let number of girls be g. Total marks for boys: 9 × 13 = 117. Total marks for girls: 15g. Combined average: (117 + 15g)/(9 + g) = 14.28. Solving: 117 + 15g = 128.52 + 14.28g, giving 0.72g = 11.52, so g = 16. Total students = 9 + 16 = 25.

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