A sum of Rs. 312 was divided among 100 boys and girls in such a way that the boy gets Rs. 3.60 and each girl Rs. 2.40 the number of girls is

To solve this problem, we can use the system of linear equations. Let's denote the number of boys as B and the number of girls as G.

From the problem, we know two things:

1. The total number of boys and girls is 100. So, we can write this as: B + G = 100
2. The total amount of money is Rs. 312. Each boy gets Rs. 3.60 and each girl gets Rs. 2.40. So, we can write this as: 3.60B + 2.40G = 312

Now, we can solve this system of equations.

First, let's multiply the first equation by 3.60 to make the coefficients of B the same in both equations:

3.60B + 3.60G = 360

Now, let's subtract the second equation from the first one:

3.60B + 3.60G - (3.60B + 2.40G) = 360 - 312 1.20G = 48

Finally, let's divide both sides of the equation by 1.20 to find the number of girls:

G = 48 / 1.20 = 40

So, there are 40 girls.