If 69 buckets of equal capacity can be filled with 586.5 litres of water, what is the capacity of each bucket?

Answer

To find the capacity of each bucket when 69 buckets can be filled with 586.5 liters of water, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the total volume of water and the number of buckets.**
- Total volume of water = 586.5 liters
- Number of buckets = 69

2. **Set up the equation to find the capacity of one bucket.**
- Capacity of one bucket = Total volume of water / Number of buckets
- Capacity of one bucket = 586.5 liters / 69

3. **Perform the division.**
- To simplify the division, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
- (586.5 * 10) / (69 * 10) = 5865 / 690

4. **Divide 5865 by 69.**
- 5865 ÷ 69 = 85 (after performing the division)
- This means that 69 goes into 5865 a total of 85 times.

5. **Calculate the remainder.**
- 69 * 85 = 5865, so there is no remainder.

6. **Interpret the result.**
- Since we multiplied by 10 earlier, we need to divide the result by 10 to find the actual capacity of one bucket:
- Capacity of one bucket = 85 / 10 = 8.5 liters

### Final Answer:
The capacity of each bucket is **8.5 liters**.