The total weight of 12 boys and 8 girls is 1080 kg. If the average weight of boys is 50 kg, then what will be average weight of girls?

Options

A. A) 55 kg
B. B) 50 kg
C. C) 60 kg
D. D) 45 kg

Answer

To find the average weight of girls based on the given information, we can follow these steps:

### Step 1: Calculate the total weight of the boys
We know that the average weight of the boys is given as 50 kg and there are 12 boys. The total weight of the boys can be calculated using the formula:

\[ \text{Total Weight of Boys} = \text{Average Weight of Boys} \times \text{Number of Boys} \]

Substituting the values:

\[ \text{Total Weight of Boys} = 50 \, \text{kg} \times 12 = 600 \, \text{kg} \]

### Step 2: Calculate the total weight of the girls
The total weight of 12 boys and 8 girls is given as 1080 kg. We can find the total weight of the girls by subtracting the total weight of the boys from the total weight:

\[ \text{Total Weight of Girls} = \text{Total Weight (Boys + Girls)} - \text{Total Weight of Boys} \]

Substituting the values:

\[ \text{Total Weight of Girls} = 1080 \, \text{kg} - 600 \, \text{kg} = 480 \, \text{kg} \]

### Step 3: Calculate the average weight of the girls
Now that we have the total weight of the girls, we can find the average weight by dividing the total weight of the girls by the number of girls:

\[ \text{Average Weight of Girls} = \frac{\text{Total Weight of Girls}}{\text{Number of Girls}} \]

Substituting the values:

\[ \text{Average Weight of Girls} = \frac{480 \, \text{kg}}{8} = 60 \, \text{kg} \]

### Final Answer
The average weight of the girls is **60 kg**.

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