Given the total number of students and the percentage of those participating in Dance and Play in classes VI and IX as shown below:

| Class | Total Students | Dance (%) | Play (%) |
|-------|----------------|-----------|----------|
| VI | 500 | 15 | 8 |
| IX | 250 | 10 | 12 |

What is the total number of students from classes VI and IX who do **not** participate in either Dance or Play?

Question

Given the total number of students and the percentage of those participating in Dance and Play in classes VI and IX as shown below:

| Class | Total Students | Dance (%) | Play (%) |
|-------|----------------|-----------|----------|
| VI    | 500            | 15        | 8        |
| IX    | 250            | 10        | 12       |

What is the total number of students from classes VI and IX who do **not** participate in either Dance or Play?

Accepted Answer

**Solution:**

1. Calculate the number of students in class VI who do not participate in Dance or Play:
   - Total students in VI = 500
   - Percentage participating in Dance = 15\%
   - Percentage participating in Play = 8\%
   - Total participating in either activity = 15\% + 8\% = 23\%
   - Number participating = $ \frac{23}{100} \times 500 = 115 $
   - Number not participating = 500 - 115 = 385

2. Calculate the number of students in class IX who do not participate in Dance or Play:
   - Total students in IX = 250
   - Percentage participating in Dance = 10\%
   - Percentage participating in Play = 12\%
   - Total participating = 10\% + 12\% = 22\%
   - Number participating = $ \frac{22}{100} \times 250 = 55 $
   - Number not participating = 250 - 55 = 195

3. Find the total number of students from classes VI and IX who do not participate in either activity:
   - Total = 385 + 195 = 580

**Answer:** 580

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