20 buckets each of capacity `13. 5` litres completely fills the tank. How many buckets each of capacity 9 litres will completely fill the tank?

Options

A. 30
B. 32
C. 60
D. Data inadequate

Answer

To solve the problem, we need to determine the total volume of the tank and then find out how many 9-litre buckets are required to fill that same volume.

**Step 1: Calculate the total volume of the tank.**

We know that 20 buckets each with a capacity of 13.5 litres fill the tank completely.

Total volume of the tank = Number of buckets × Capacity of each bucket
= 20 buckets × 13.5 litres/bucket
= 270 litres.

**Step 2: Determine how many 9-litre buckets are needed to fill the tank.**

Now that we know the total volume of the tank is 270 litres, we can find out how many 9-litre buckets are required to fill this volume.

Number of 9-litre buckets needed = Total volume of the tank / Capacity of each 9-litre bucket
= 270 litres / 9 litres/bucket
= 30 buckets.

**Final Answer:** 30 buckets of 9 litres each will completely fill the tank.

---