A shopkeeper mixed 5.3 kg of almonds, 2100 g of raisin, 2.2 kg of cashews and packed the mixture equally into two dozen packets. What is the weight to each packet?

Options

A. 500 g
B. 300 g
C. 400 g
D. 450 g

Explanation

To solve the problem step by step, let's follow the process outlined in the video transcript:

**Step 1: Convert all weights to the same unit.**
- We have:
- Almonds: 5.3 kg
- Raisins: 2100 g
- Cashews: 2.2 kg

**Conversion:**
- Convert kilograms to grams (since 1 kg = 1000 g):
- Almonds: 5.3 kg = 5.3 × 1000 g = 5300 g
- Cashews: 2.2 kg = 2.2 × 1000 g = 2200 g

Now we have:
- Almonds: 5300 g
- Raisins: 2100 g
- Cashews: 2200 g

**Step 2: Calculate the total weight of the mixture.**
- Total weight = weight of almonds + weight of raisins + weight of cashews
- Total weight = 5300 g + 2100 g + 2200 g
- Total weight = 5300 + 2100 + 2200 = 9600 g

**Step 3: Determine the number of packets.**
- The problem states that the mixture is packed into two dozen packets.
- One dozen = 12 packets, so two dozen = 2 × 12 = 24 packets.

**Step 4: Calculate the weight of each packet.**
- Weight of each packet = Total weight / Number of packets
- Weight of each packet = 9600 g / 24
- Weight of each packet = 400 g

Thus, the weight of each packet is **400 grams**.

---