Study the table given below carefully and answer the question.

| Classes | Total Students | Number of Students Who Do Not Participate | % of Students Who Participate in Dance |
|---------|----------------|-------------------------------------------|----------------------------------------|
| III | 180 | 60 | 60\% |
| IV | 150 | 50 | 45\% |
| V | 200 | 55 | 80\% |
| VI | 250 | 130 | 70\% |

*Note:* Students participate only in either dancing or singing.

**Question:** What is the average number of students who participate in dancing from classes III, IV, and VI?

Question

Study the table given below carefully and answer the question.

| Classes | Total Students | Number of Students Who Do Not Participate | % of Students Who Participate in Dance |
|---------|----------------|-------------------------------------------|----------------------------------------|
| III     | 180            | 60                                        | 60\%                                  |
| IV      | 150            | 50                                        | 45\%                                  |
| V       | 200            | 55                                        | 80\%                                  |
| VI      | 250            | 130                                       | 70\%                                  |

*Note:* Students participate only in either dancing or singing.

**Question:** What is the average number of students who participate in dancing from classes III, IV, and VI?

Accepted Answer

**Solution:**

1. Calculate the number of students who participate in each class by subtracting the number of students who do not participate from the total students.

- Class III: Participating students = 180 - 60 = 120
- Class IV: Participating students = 150 - 50 = 100
- Class VI: Participating students = 250 - 130 = 120

2. Find the number of students who participate in dancing in each class using the given percentages:

- Class III: Dancing participants = 60\% of 120 = $ $\frac{60}{100} \times 120 = 72$ $
- Class IV: Dancing participants = 45\% of 100 = $ $\frac{45}{100} \times 100 = 45$ $
- Class VI: Dancing participants = 70\% of 120 = $ $\frac{70}{100} \times 120 = 84$ $

3. Calculate the average number of students who participate in dancing from classes III, IV, and VI:

$$\text{Average} = \frac{72 + 45 + 84}{3} = \frac{201}{3} = 67$$

**Answer:** 67

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