Question

In a class of 40 students, the ratio of boys to girls is 3:2. The average marks scored by boys is 42, and that by girls is 46. What is the average marks scored by the whole class?

• A. 43.4
• B. 43.6
• C. 43.8
• D. 44

Answer 1

The Correct Option is B

To resolve the issue, perform the subsequent operations:

1. Ascertain the quantity of male and female students within the classroom according to the provided proportion: The boy-to-girl ratio stands at 3:2. Designate the count of boys as 3x and the count of girls as 2x. Given that the aggregate student count is 40:
   3x + 2x = 40
   5x = 40
   x = 8
2. Compute the individual counts of boys and girls:
   Number of boys = 3x = 3(8) = 24
   Number of girls = 2x = 2(8) = 16
3. Calculate the aggregate scores for the boys and girls: The mean score for boys is 42, yielding a total score for boys: 42 * 24 = 1008. The mean score for girls is 46, resulting in a total score for girls: 46 * 16 = 736.
4. Determine the average score for the entire cohort: The cumulative score for the entire class is the summation of the total scores for boys and girls:
   Total marks for class = 1008 + 736 = 1744
   Average marks for the whole class = Total marks for class / Total number of students = 1744 / 40 = 43.6

Consequently, the mean score achieved by the entire class is 43.6.