The weight of `37` bags of sugar is `3644.5` kg. If all the bags weigh equally what is the weight of each bag ?

Options

A. `"98.5kg"`
B. `"96.5kg"`
C. `"80.5kg"`
D. `"90.5kg"`

Answer

To find the weight of each bag of sugar when the total weight of 37 bags is given as 3644.5 kg, we can follow these steps:

### Step 1: Understand the problem
We know that the total weight of 37 bags is 3644.5 kg. We need to find the weight of one bag.

### Step 2: Set up the equation
To find the weight of one bag, we can use the formula:
\[ \text{Weight of one bag} = \frac{\text{Total weight of bags}}{\text{Number of bags}} \]
In this case, it will be:
\[ \text{Weight of one bag} = \frac{3644.5 \text{ kg}}{37} \]

### Step 3: Perform the division
Now, we need to divide 3644.5 by 37. To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:
\[ \frac{3644.5 \times 10}{37 \times 10} = \frac{36445}{370} \]

### Step 4: Calculate the division
Now we can perform the division:
\[ 36445 \div 37 = 985 \]
This means that:
\[ \frac{3644.5}{37} = 98.5 \]

### Step 5: Conclusion
Thus, the weight of each bag is:
\[ \text{Weight of one bag} = 98.5 \text{ kg} \]

### Final Answer
The weight of each bag is **98.5 kg**.

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