Nandini had some fruits. She packed them into `36` packets of `12` fruits each. She found that she had 6 fruits left. How many fruits she had at first ?

Options

A. `426`
B. `432`
C. `204`
D. `438`

Answer

To find out how many fruits Nandini had at first, we can follow these steps:

1. **Calculate the total number of fruits packed in the packets.**
- Nandini packed her fruits into 36 packets, and each packet contains 12 fruits.
- Therefore, the total number of fruits in the packets can be calculated as:
\[ \text{Total fruits in packets} = \text{Number of packets} \times \text{Fruits per packet} = 36 \times 12 \]

2. **Perform the multiplication.**
- Now, let's calculate \(36 \times 12\):
\[ 36 \times 12 = 432 \]
- So, there are 432 fruits packed in the packets.

3. **Add the leftover fruits to the total packed fruits.**
- Nandini has 6 fruits left after packing. To find the total number of fruits she had at first, we need to add these leftover fruits to the total packed fruits:
\[ \text{Total fruits at first} = \text{Total fruits in packets} + \text{Leftover fruits} = 432 + 6 \]

4. **Perform the addition.**
- Now, let's calculate \(432 + 6\):
\[ 432 + 6 = 438 \]
- Therefore, Nandini had a total of 438 fruits at first.

5. **Final answer.**
- Nandini had 438 fruits at the beginning.