Given the following data of total students and the percentage of students participating in Dance and Play in different classes:

| Class | Total Students | Dance (%) | Play (%) |
|-------|----------------|-----------|----------|
| VI | 500 | 15 | 8 |
| VII | 400 | 10 | 6 |
| VIII | 360 | 25 | 10 |
| IX | 250 | 10 | 12 |

What is the ratio of the number of students participating in Dance from Class VII and IX together to the number of students participating in Play from Class VI and VIII together?

Question

Given the following data of total students and the percentage of students participating in Dance and Play in different classes:

| Class | Total Students | Dance (%) | Play (%) |
|-------|----------------|-----------|----------|
| VI    | 500            | 15        | 8        |
| VII   | 400            | 10        | 6        |
| VIII  | 360            | 25        | 10       |
| IX    | 250            | 10        | 12       |

What is the ratio of the number of students participating in Dance from Class VII and IX together to the number of students participating in Play from Class VI and VIII together?

Accepted Answer

**Solution:**

1. Calculate the number of students participating in Dance from Class VII and IX:
   - Class VII Dance participants = 10% of 400 = $ \frac{10}{100} \times 400 = 40 $
   - Class IX Dance participants = 10% of 250 = $ \frac{10}{100} \times 250 = 25 $

Total Dance participants from VII and IX = 40 + 25 = 65

2. Calculate the number of students participating in Play from Class VI and VIII:
   - Class VI Play participants = 8% of 500 = $ \frac{8}{100} \times 500 = 40 $
   - Class VIII Play participants = 10% of 360 = $ \frac{10}{100} \times 360 = 36 $

Total Play participants from VI and VIII = 40 + 36 = 76

3. Form the required ratio:
   $$
   \text{Ratio} = 65 : 76
   $$

**Answer:** 65 : 76

Answer

Answer

Answer

Answer