The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class |  Average Questions and Answers

QUESTION :

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

(a) 47.55 kg

(b) 48 kg

(c) 48.55 kg

(d) 49.25 kg

Correct Answer – 48.55 kg

Formula to Solve: Average Weight =Total Weight * Number of boys.

(Please Note: The * Denotes – Divide )

Detailed Explanation :

Given –

1. Average weight of 16 boys = 50.25 kg 
2. The average weight of remaining 8 boys = 45.15 kg 

To find:  The Average weight of all the boys in the class 

Solution: Step by Step 

Step 1: Find the total weight of the 16 boys 

Total weight of 16 boys = Average weight of 16 boys * Number of boys 

= 50.25 kg * 16 

= 804 kg 

Step 2: Find the total weight of the remaining 8 boys 

Total weight of 8 boys = Average weight of 8 boys * Number of boys 

= 45.15 kg * 8 

= 361.2 kg 

Step 3: Find the total weight of all the boys 

Total weight of all the boys = Total weight of 16 boys + Total weight of 8 boys 

= 804 kg + 361.2 kg 

= 1165.2 kg 

Step 4: Find the average weight of all the boys 

Average weight of all the boys = Total weight of all the boys / Total number of boys 

= 1165.2 kg / 24 boys 

= 48.55 kg (rounded off to two decimal places) 

Therefore, the average weight of all the boys in the class is 48.55 kg. 

Answer: Option A (48.55)

Also Read: Average Cost Questions: Formulas and Solved Examples | Quantitative Aptitude 

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