Given the data below about students in different classes and their participation percentages in Dance and Play:

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

What is the percentage difference between the number of students participating in Dance from Class VII and those participating in Play from Class IX? Specifically, by what percent are the students participating in Dance from Class VII more or less than those participating in Play from Class IX?

Question

Given the data below about students in different classes and their participation percentages in Dance and Play:

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

What is the percentage difference between the number of students participating in Dance from Class VII and those participating in Play from Class IX? Specifically, by what percent are the students participating in Dance from Class VII more or less than those participating in Play from Class IX?

Accepted Answer

**Solution:**

1. Calculate the number of students participating in Dance from Class VII:
   - Total students in Class VII = 400
   - Percentage participating in Dance = 10\%
   - Number of students = $ \frac{10}{100} \times 400 = 40 $

2. Calculate the number of students participating in Play from Class IX:
   - Total students in Class IX = 250
   - Percentage participating in Play = 12\%
   - Number of students = $ \frac{12}{100} \times 250 = 30 $

3. Find the percentage by which Dance participants from Class VII are more than Play participants from Class IX:
   - Difference = 40 - 30 = 10
   - Percentage difference relative to Play participants from Class IX:
     $$
     \frac{10}{30} \times 100 = \frac{100}{3} = 33 \frac{1}{3} \% 
     $$

**Answer:** $33 \frac{1}{3} \%$

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