18 buckets of water fill a tank when the capacity of each bucket is 8 litres. How many buckets will be needed to fill the same tank, if the capacity of the bucket is 12 litres?

Options

A. A) 12
B. B) 13.5
C. C) 24
D. D) Data insufficient

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total capacity of the tank.
We know that 18 buckets of water fill the tank and each bucket has a capacity of 8 liters.

\[ \text{Total capacity of the tank} = \text{Number of buckets} \times \text{Capacity of each bucket} \]
\[ \text{Total capacity of the tank} = 18 \times 8 = 144 \text{ liters} \]

### Step 2: Determine how many buckets are needed with the new bucket capacity.
Now, we need to find out how many buckets of 12 liters each are required to fill the same tank.

\[ \text{Number of buckets needed} = \frac{\text{Total capacity of the tank}}{\text{Capacity of each new bucket}} \]
\[ \text{Number of buckets needed} = \frac{144}{12} = 12 \]

### Conclusion:
Thus, the number of buckets needed to fill the tank with a capacity of 12 liters each is **12 buckets**.

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