Priyadarshini mixed 4.8 kg of almonds, 2500 g of raisin and 3.5 kg of cashews and packed the mixture equally into three dozen packets. What is the weight of each packet ?

Question

Accepted Answer

To determine the weight of each packet, we first need to calculate the total weight of the mixture and then divide it by the number of packets.

1. **Calculate the total weight of the mixture:**
   - Almonds: 4.8 kg = 4800 g (since 1 kg = 1000 g)
   - Raisins: 2500 g
   - Cashews: 3.5 kg = 3500 g

Total weight = 4800 g (almonds) + 2500 g (raisins) + 3500 g (cashews) = 10800 g

2. **Determine the number of packets:**
   - Three dozen packets = 3 x 12 = 36 packets

3. **Calculate the weight of each packet:**
   - Weight of each packet = Total weight / Number of packets
   - Weight of each packet = 10800 g / 36 = 300 g

Therefore, the weight of each packet is 300 g, which corresponds to Option 3.

**Explanation for why each option is incorrect:**

- **Option 1 (650 g):** If each packet weighed 650 g, then the total weight would be 650 g x 36 = 23400 g, which is much more than the actual total weight of 10800 g. Hence, this option is incorrect.

- **Option 2 (250 g):** If each packet weighed 250 g, then the total weight would be 250 g x 36 = 9000 g, which is less than the actual total weight of 10800 g. Hence, this option is incorrect.

- **Option 4 (500 g):** If each packet weighed 500 g, then the total weight would be 500 g x 36 = 18000 g, which is more than the actual total weight of 10800 g. Hence, this option is incorrect.

In conclusion, the correct answer is Option 3, as the calculations clearly show that each packet weighs 300 g.