In a class of 40 students, the ratio of boys to girls is 3:2, and the average marks scored by boys is 42, while the average marks scored by girls is 46. What is the average marks scored by the whole class?

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Accepted Answer

1. **Let the number of boys and girls be based on the ratio 3:2:**  
   - Total students = 40.  
   - Boys = $$ \frac{3}{5} 	imes 40 = 24 $$.  
   - Girls = $$ \frac{2}{5} 	imes 40 = 16 $$.

2. **Calculate total marks for boys and girls:**  
   - Total marks for boys = $$ 24 	imes 42 = 1008 $$.  
   - Total marks for girls = $$ 16 	imes 46 = 736 $$.

3. **Calculate total marks for the class and find average marks:**  
   - Total marks for class = $$ 1008 + 736 = 1744 $$.  
   - Average marks for class = $$ \frac{1744}{40} = 43.6 $$.

Thus, the average marks scored by the whole class is **43.6**, making option **(2)** correct.

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