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The ratio of the number of boys and girls in a class is 5 : 3. If the average weight of all the boys is 63 kg, whereas that of the girls is 47 kg, find the average weight (in kg) of all the students in the class.

Question

The ratio of the number of boys and girls in a class is 5 : 3. If the average weight of all the boys is 63 kg, whereas that of the girls is 47 kg, find the average weight (in kg) of all the students in the class.

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Solution

To solve this problem, we need to follow these steps:

  1. Let's assume the number of boys in the class is 5x and the number of girls is 3x. The total number of students in the class is 5x + 3x = 8x.

  2. The total weight of the boys is 5x * 63 kg = 315x kg and the total weight of the girls is 3x * 47 kg = 141x kg.

  3. The total weight of all the students in the class is 315x kg + 141x kg = 456x kg.

  4. The average weight of all the students in the class is the total weight divided by the total number of students, which is 456x kg / 8x = 57 kg.

So, the average weight of all the students in the class is 57 kg.

This problem has been solved

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