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In a class of 45 students, 40% are girls and the remaining are boys. The average marks of the girls are 64 and that of the boys is 60. What is the average marks of the whole class?
  • a)
    61.8
  • b)
    62.4
  • c)
    61.6
  • d)
    62.9
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a class of 45 students, 40% are girls and the remaining are boys. ...
Total number of students = 45
Number of girls in class = 45 × 40/100 = 18
Number of boys in class = 45 - 18 = 27
Average marks of girls = 64
Sum of marks of girls = 64 × 18 = 1152
Average marks of boys = 60
Sum of marks of boys = 60 × 27 = 1620
Total sum of marks of all class = 1152 + 1620 = 2772
Average marks of whole class = 2772/45 = 61.6
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Community Answer
In a class of 45 students, 40% are girls and the remaining are boys. ...
Given:
- Total number of students in the class = 45
- Percentage of girls = 40%
- Average marks of girls = 64
- Average marks of boys = 60

To Find:
- Average marks of the whole class

Solution:

Let's first find the number of girls and boys in the class.

Number of girls = (40/100) * 45 = 18

Number of boys = 45 - 18 = 27

Now, let's find the total marks scored by the girls and boys.

Total marks scored by girls = Number of girls * Average marks of girls = 18 * 64 = 1152

Total marks scored by boys = Number of boys * Average marks of boys = 27 * 60 = 1620

Next, let's find the total marks scored by the whole class.

Total marks scored by the whole class = Total marks scored by girls + Total marks scored by boys = 1152 + 1620 = 2772

Finally, let's find the average marks of the whole class.

Average marks of the whole class = Total marks scored by the whole class / Total number of students in the class = 2772 / 45 ≈ 61.6

Therefore, the average marks of the whole class is approximately 61.6.

Hence, the correct answer is option C) 61.6.
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In a class of 45 students, 40% are girls and the remaining are boys. The average marks of the girls are 64 and that of the boys is 60. What is the average marks of the whole class?a)61.8b)62.4c)61.6d)62.9Correct answer is option 'C'. Can you explain this answer?
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