Question

The average weight of 70 students is 53 kg and the average weight 30 of them is 48 kg. Find the average weight of remaining students in kg

• A. 56
• B. 56.5
• C. 56.75
• D. 56.25

Answer 1

The correct option is C 56.75

Given, average weight of $70$ students $=53$ kg
$\frac{Sumofweightsof70students}{70}=53$
$=>$ Sum of weights of $70$ students $=53\times 70=3710kg$
And average weight of $30$ students $=48$ kg
$\frac{Sumofweightsof30students}{30}=48$
$=>$ Sum of weights of $30$ students $=48\times 30=1440kg$
So, sum of remaining $70-30=40$ students $=3710-1440=2270kg$
And average weight of remaining $40$ students $=\frac{Sumofweightsof40students}{40}=\frac{2270}{40}=56.75kg$