The numbers of students in section A and section B of a class are 50 and 62, respectively. The average score in mathematics of all the students is 75. If the average score of students in section A is 20% more than that of students in section B, then what is the average score of students in section A (correct to one decimal place)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 82.6
The number of students in sections A and B are 50 and 62.
Let the average score of the student in section B is 5a then the average score of the student in section A is 6a.
The sum of the score of students in Sections A and B are 6a × 50 and 5a × 62
The average score of all students = 75
Sum of the score of all students in mathematics = 75 × (50 +62) = 8400.
300a + 310a = 8400
610a = 8400
a = 13.77
6a = 13.77 × 6 = 82.62 (82.6 approx).