Answer :
Final answer:
The weight of the new boy, which resulted in the increase of the mean weight of the class by 500 g, is calculated to be 64 kg.
Explanation:
To solve this problem, we need to work with the concepts of mean and total weight. The mean weight of the class of 34 students is 46.5 kg. This means the total weight is 46.5 kg * 34 = 1581 kg.
Now, if we include the new boy, the mean weight increases by 500 g (0.5 kg), so it becomes 47 kg. It is also stated that the number of students now is 34 + 1 = 35.
Therefore, to find out the total weight of all 35 students, we need to multiply the new mean weight by the total number of students. Hence, the total weight is now 35 * 47 = 1645 kg.
The weight of the new boy would be the difference between the new total weight and the old total weight, which is 1645 kg - 1581 kg = 64 kg. Thus, the new boy weighs 64 kg.
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