The average marks of a class of students are 76.The average marks of boys and girls are 69 and 83 respectively. If there are 100 boys in the class find the number of girls in the class.?

Question

Answer

Solution:

Given:

- Average marks of a class of students = 76

- Average marks of boys in the class = 69

- Average marks of girls in the class = 83

- Number of boys in the class = 100

Approach:

Let the number of girls in the class be 'x'.

Then, the total number of students in the class = number of boys + number of girls = 100 + x

Using the given information, we can form the following equations:

- (69 * 100)/100 + (83 * x)/100 = 76 (as the overall average is 76)

- Simplifying the above equation, we get: 6900 + 83x = 7600

- Solving for x, we get: x = 84 (approx)

Therefore, the number of girls in the class is approximately 84.

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