In a summer camp, \( \frac{1}{4} \) of the total number of children are attending painting classes. \( \frac{1}{2} \) of the total number of children are attending cricket coaching. 10 children in the camp are attending the painting classes. How many children would be attending the cricket coaching?

Answer

Let's denote the total number of children in the camp as \( x \). 1. According to the information given, \( \frac{1}{4} \) of the total number of children are attending painting classes: \[ \frac{1}{4} x = 10 \] This means that the total number of children in the painting classes is 10. 2. To find \( x \), we can rearrange the equation: \[ x = 10 \times 4 \] \[ x = 40 \] 3. Now, we know there are 40 children in total. 4. Next, to find out how many children are attending cricket coaching, we calculate \( \frac{1}{2} \) of the total number of children: \[ \frac{1}{2} x = \frac{1}{2} \times 40 \] \[ \frac{1}{2} x = 20 \] Therefore, the number of children attending cricket coaching is 20. So the final answer is 20.