Question

The aevearg waight of 16 boy in a class is 50:25kg and that of the remaining 8 boys in 45:15 kg find the average weight of all boys in all boys

Answer 1

Appropriate 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.

Given :

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

To Find :

• The average weights of all the boys in the class = ?

Solution :

• Average weight of 16 boys = 50.25 kg.
• Hence, the total weight of 16 boys = 16 × 50.25 = 804 kg
• Average weight of 8 boys = 45.15 kg.
• Hence, the total weight of 8 boys = 8 × 45.15 = 361.2 kg

★ Finding total number of boys in the class :

→ Total number of boys = 16 + 8

→ Total number of boys = 24

• Hence,the total number of boys in the class is 24.

★ Finding total weight of 24 boys in the class :

→ Total number weight of 24 boys = 804 kg + 361.2 kg

→ Total number weight of 24 boys = 1165.2 kg

• Hence,the total weight of 24 boys in the class is 1165.2 kg.

★ Now, Let's calculate the average weight of 24 boys :

→ Average weight of 24 boys = (Total number weight of 24 boys ÷ the total number of boys in the class)

→ Average weight of 24 boys = (1165.2 kg ÷ 24 kg)

→ Average weight of 24 boys = 48.55 kg

• Hence,the average weight of 24 boys is 48.55 kg.

Answer 2

Required average = 

$(16+850.25×16+45.15×8)$

$= (24804+361.20)$

$= 241165.20$

$= 48.55$