In a class, 60% of the students were boys. 8 girls joined the class. Then 50% of the students in the class were girls. Find the initial strength of the class

Sure, let's solve this step by step:

Step 1: Let's assume the initial strength of the class is 'x'. According to the problem, 60% of 'x' are boys. So, 40% of 'x' are girls.

Step 2: Then 8 girls joined the class. So, the total number of girls in the class becomes 40% of 'x' + 8.

Step 3: After the 8 girls joined, the problem states that 50% of the students in the class were girls. So, we can set up the equation 50% of (x + 8) = 40% of 'x' + 8.

Step 4: Solving this equation will give us the initial strength of the class 'x'.

Let's solve it:

0.5 * (x + 8) = 0.4 * x + 8

0.5x + 4 = 0.4x + 8

0.5x - 0.4x = 8 - 4

0.1x = 4

x = 4 / 0.1

x = 40

So, the initial strength of the class was 40 students.