Shayama bought 4 kg 350 gpotato, 3 kg 80 g tomato and some onion. If the total weight of the three vegetables is 10 kg 200 g, what is the weight of onion?

Answer

To find the weight of the onions Shayama bought, we can follow these steps:

### Step 1: Convert all weights to the same unit
We need to convert the weights of potatoes and tomatoes from kilograms and grams to kilograms only for easier calculations.

- **Potatoes**: 4 kg 350 g = 4 kg + 0.350 kg = 4.350 kg
- **Tomatoes**: 3 kg 80 g = 3 kg + 0.080 kg = 3.080 kg

### Step 2: Calculate the total weight of potatoes and tomatoes
Now, we will add the weights of potatoes and tomatoes together.

- Total weight of potatoes and tomatoes = 4.350 kg + 3.080 kg

Calculating this gives:
\[ 4.350 + 3.080 = 7.430 \text{ kg} \]

### Step 3: Find the total weight of all three vegetables
The total weight of the three vegetables (potatoes, tomatoes, and onions) is given as 10 kg 200 g. We convert this to kilograms as well:

- Total weight = 10 kg + 0.200 kg = 10.200 kg

### Step 4: Calculate the weight of the onions
Now, we will subtract the total weight of potatoes and tomatoes from the total weight of all three vegetables to find the weight of the onions.

- Weight of onions = Total weight of vegetables - Total weight of potatoes and tomatoes
\[ \text{Weight of onions} = 10.200 \text{ kg} - 7.430 \text{ kg} \]

Calculating this gives:
\[ 10.200 - 7.430 = 2.770 \text{ kg} \]

### Step 5: Convert the weight of onions back to kg and g
Now, we can convert 2.770 kg back into kilograms and grams:

- 2.770 kg = 2 kg + 770 g

### Final Answer
The weight of the onions is **2 kg 770 g**.

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