Sonika purchased 4 kg 500 g wheat, 5 kg 650 g sugar and 12 kg 600 g rice. The total weight she purchased was ___________ .

Options

A. `10.150` kg
B. `22.750` kg
C. `25.350` kg
D. `18.250` kg

Answer

To find the total weight Sonika purchased, we need to convert the weights given in grams to kilograms and then sum them up. Here's a step-by-step solution:

### Step 1: Convert grams to kilograms
We know that:
- 1000 grams = 1 kilogram

Now, let's convert the weights of wheat, sugar, and rice from grams to kilograms.

1. **Wheat:**
- Weight = 4 kg 500 g
- Convert 500 g to kg:
\[ 500 \, \text{g} = \frac{500}{1000} \, \text{kg} = 0.5 \, \text{kg} \]
- Total weight of wheat in kg = \(4 + 0.5 = 4.5 \, \text{kg}\)

2. **Sugar:**
- Weight = 5 kg 650 g
- Convert 650 g to kg:
\[ 650 \, \text{g} = \frac{650}{1000} \, \text{kg} = 0.65 \, \text{kg} \]
- Total weight of sugar in kg = \(5 + 0.65 = 5.65 \, \text{kg}\)

3. **Rice:**
- Weight = 12 kg 600 g
- Convert 600 g to kg:
\[ 600 \, \text{g} = \frac{600}{1000} \, \text{kg} = 0.6 \, \text{kg} \]
- Total weight of rice in kg = \(12 + 0.6 = 12.6 \, \text{kg}\)

### Step 2: Sum the weights
Now, we will add the weights of wheat, sugar, and rice together:
\[ \text{Total weight} = \text{Weight of wheat} + \text{Weight of sugar} + \text{Weight of rice} \]
\[ \text{Total weight} = 4.5 \, \text{kg} + 5.65 \, \text{kg} + 12.6 \, \text{kg} \]

### Step 3: Perform the addition
1. Add the whole numbers:
\[ 4 + 5 + 12 = 21 \]
2. Add the decimal parts:
\[ 0.5 + 0.65 + 0.6 = 1.75 \]
3. Combine the results:
\[ \text{Total weight} = 21 + 1.75 = 22.75 \, \text{kg} \]

### Step 4: Format the answer
Since the question asks for the total weight in three decimal places, we write:
\[ \text{Total weight} = 22.750 \, \text{kg} \]

### Final Answer:
The total weight Sonika purchased was **22.750 kg**.

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