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The ratio of the number of boys and girls in a class is 5:7. The average weight of boys is 56 kg and that of girls is 50 kg. What is the average weight (in kg) of all the boys and girls in the class?
  • a)
    54.1
  • b)
    51.8
  • c)
    53.2
  • d)
    52.5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of the number of boys and girls in a class is5:7. The averag...
Given:
Ratio of the number of boys and girls in a class is 5:7
The average weight of boys is 56 kg and that of girls is 50 kg
Concept:
Average = Sum of elements/Number of elements
Calculation:
Let the number of boys and girls be 5x and 7x
Total weight of the boys = 5x × 56 = 280x
Total weight of the boys = 7x × 50 = 350x
Total weight of the boys and girls = 280x+350x = 630x
Now the average of boys and girls = 630x/12x
⇒ 52.5
∴ The average weight (in kg) of all the boys and girls in the class is 52.5.
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The ratio of the number of boys and girls in a class is5:7. The average weight of boys is56kg and that of girls is50kg. What is the average weight (in kg) of all the boys and girls in the class?a)54.1b)51.8c)53.2d)52.5Correct answer is option 'D'. Can you explain this answer?
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