Mr Soni bought some bags of cement, each weighing `49.8` kg. If the total weight of all the bags is `1792.8` kg, how many bags did he buy?

Options

A. `"16 bags "`
B. `"26 bags "`
C. `"36 bags "`
D. `"46 bags "`

Answer

To find out how many bags of cement Mr. Soni bought, we need to divide the total weight of the cement bags by the weight of one bag. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify the weights:**
- Weight of one bag of cement = `49.8 kg`
- Total weight of all bags = `1792.8 kg`

2. **Set up the division:**
- To find the number of bags, we need to divide the total weight by the weight of one bag:
\[ \text{Number of bags} = \frac{\text{Total weight}}{\text{Weight of one bag}} = \frac{1792.8}{49.8} \]

3. **Remove the decimals:**
- To simplify the division, we can eliminate the decimals. We can multiply both the numerator and the denominator by 10:
\[ \frac{1792.8 \times 10}{49.8 \times 10} = \frac{17928}{498} \]

4. **Perform the division:**
- Now, we divide `17928` by `498`.
- To do this, we can use long division or a calculator. Performing the division:
\[ 17928 \div 498 = 36 \]

5. **Conclusion:**
- Therefore, Mr. Soni bought **36 bags** of cement.