Given the data of total students and percentage of students participating in Play from four classes as below:

| Class | Total Students | % Participating in Play |
|-------|----------------|------------------------|
| VI | 500 | 8\% |
| VII | 400 | 6\% |
| VIII | 360 | 10\% |
| IX | 250 | 12\% |

What is the average number of students participating in Play from all these classes?

Question

Given the data of total students and percentage of students participating in Play from four classes as below:

| Class | Total Students | % Participating in Play |
|-------|----------------|------------------------|
| VI    | 500            | 8\%                    |
| VII   | 400            | 6\%                    |
| VIII  | 360            | 10\%                   |
| IX    | 250            | 12\%                   |

What is the average number of students participating in Play from all these classes?

Accepted Answer

**Solution:**

1. Calculate the number of students participating in Play from each class:
   - Class VI: $8\%$ of $500 = \frac{8}{100} 	imes 500 = 40$
   - Class VII: $6\%$ of $400 = \frac{6}{100} 	imes 400 = 24$
   - Class VIII: $10\%$ of $360 = \frac{10}{100} 	imes 360 = 36$
   - Class IX: $12\%$ of $250 = \frac{12}{100} 	imes 250 = 30$

2. Sum these values:
   $$40 + 24 + 36 + 30 = 130$$

3. Find the average number of students participating in Play:
   $$\frac{130}{4} = 32.5 = 32 \frac{1}{2}$$

**Answer:** $32 \frac{1}{2}$

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