A drum has 705 litres of oil. Two containers of capacity 135.75 litres and 253.50 litres are filled with oil from the drum. Find the quantity of oil left in the drum.

Options

A. 720 litres
B. 300 litres
C. 215.75 litres
D. 315.75 litres

Answer

To find the quantity of oil left in the drum after filling two containers, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the total amount of oil in the drum:**
The drum contains a total of 705 litres of oil.

2. **Identify the capacities of the two containers:**
- The first container has a capacity of 135.75 litres.
- The second container has a capacity of 253.50 litres.

3. **Calculate the total amount of oil used to fill the containers:**
We need to add the capacities of the two containers together.
\[ \text{Total oil used} = 135.75 + 253.50 \]

4. **Perform the addition:**
We will add the two numbers using the column method:
- Align the numbers:
```
135.75
+ 253.50
---------
```
- Start adding from the rightmost column:
- 5 + 0 = 5
- 7 + 5 = 12 (write 2 and carry over 1)
- 5 + 3 + 1 (carry) = 9
- 3 + 5 = 8
- 1 + 2 = 3
- The total is:
\[ 389.25 \text{ litres} \]

5. **Calculate the quantity of oil left in the drum:**
Now, we will subtract the total oil used from the total oil in the drum:
\[ \text{Oil left} = 705.00 - 389.25 \]

6. **Perform the subtraction using the column method:**
- Align the numbers:
```
705.00
- 389.25
---------
```
- Start subtracting from the rightmost column:
- 0 - 5 (we need to borrow) = 10 - 5 = 5 (borrow from the 0, making it 10)
- 0 - 2 (after borrowing) = 10 - 2 = 8 (borrow from the 5, making it 4)
- 5 - 9 (we need to borrow again) = 14 - 9 = 5 (borrow from the 7, making it 6)
- 6 - 8 = 8 (borrow from the 7, making it 6)
- 6 - 3 = 3
- The total is:
\[ 315.75 \text{ litres} \]

7. **Final Result:**
The quantity of oil left in the drum is **315.75 litres**.