100 bags contain 5000 kg of wheat. How many bags will be needed to pack 13650 kg of wheat?

Options

A. 273
B. 237
C. 373
D. 337

Answer

To solve the problem step by step, we need to determine how many bags are required to pack 13650 kg of wheat, given that 100 bags can hold 5000 kg of wheat.

### Step-by-Step Solution:

1. **Understand the relationship between bags and wheat**:
We know that 100 bags hold 5000 kg of wheat.

2. **Find out how much wheat one bag can hold**:
To find out how much wheat one bag can hold, we divide the total weight of wheat by the number of bags:
\[ \text{Weight per bag} = \frac{5000 \text{ kg}}{100 \text{ bags}} = 50 \text{ kg/bag} \]

3. **Determine how many bags are needed for 13650 kg of wheat**:
Now we need to find out how many bags are required for 13650 kg. We can do this by dividing the total weight of wheat by the weight that one bag can hold:
\[ \text{Number of bags} = \frac{13650 \text{ kg}}{50 \text{ kg/bag}} = 273 \text{ bags} \]

4. **Conclusion**:
Therefore, to pack 13650 kg of wheat, we will need 273 bags.

### Final Answer:
273 bags are needed to pack 13650 kg of wheat.

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