Question

The average weight of 11 players is 72 kg. If the coach's weight is excluded, the average decreases by 1 kg. What's the weight of the coach?

• A. 81 kg
• B. 82 kg
• C. 83 kg
• D. 84 kg

Answer 1

Answer:

B. 82 kg

Here is the complete and properly structured step-by-step solution:

Given Data:

• Total number of persons (10 players + 1 coach) = $11$

• Initial average weight of the 11 persons = $72\text{ kg}$

• New average weight (when the coach is excluded, leaving 10 players) = $72 - 1 = 71\text{ kg}$

Step-by-Step Calculation:

1. Calculate the total weight of all 11 persons (players + coach):

   
   $\text{Total Weight} = 11 \times 72 = 792\text{ kg}$

2. Calculate the total weight of the 10 players (excluding the coach):

   
   $\text{Total Weight of 10 players} = 10 \times 71 = 710\text{ kg}$

3. Find the weight of the coach:

   
   $\text{Weight of the Coach} = (\text{Total weight of 11 persons}) - (\text{Total weight of 10 players})$

   $\text{Weight of the Coach} = 792 - 710 = 82\text{ kg}$

Answer:

The weight of the coach is $82\text{ kg}$.