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The number of students in sections A and B are 60 and 70 respectively. The average score in mathematics of students in section A is 70 and that of students in sections A and B together is 63. What is the average score of students of section B in mathematics?
1. 57
2. 56.5
3. 50
4. 57.5

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Correct Answer - Option 1 : 57

Given:

Total number of students in section A = 60

Total number of students in section B = 70

Average score of students of section A in mathematics = 70 

Average score of students of sections A and B together in mathematics = 63

Formula Used:

Average Score = Total Score / Total number of students

Calculation:

Let the average score of all the students of section B in mathematics = x

Total score of all the students in mathematics of section A = 60 × 70 = 4200

Total score of all the students in mathematics of section B = 70 × x = 70x

Total score of all the students in mathematics of sections A and B together = (60 + 70) × 63 = 8190

Hence, we get:

4200 + 70x = 8190

⇒ 70x = 3990

⇒ x = 57

∴ The average score of students of section B in mathematics is 57

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