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The average weight of 40 balls is 5 grams. When the weight of the basket is added to the weight of balls, the average increased by 0.5 grams. Find the weight of the basket.
  • a)
    20.5 gm
  • b)
    22.5 gm
  • c)
    25.5 gm
  • d)
    28.5 gm
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average weight of 40 balls is 5 grams. When the weight of the bask...
Answer – c) 25.5 gm Explanation : (40*5 + B)/41 = 5.5 (B is the weight of basket)
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Most Upvoted Answer
The average weight of 40 balls is 5 grams. When the weight of the bask...
Given:
- The average weight of 40 balls is 5 grams.
- When the weight of the basket is added to the weight of the balls, the average increases by 0.5 grams.

To find:
The weight of the basket.

Solution:
Let's assume the weight of the basket is 'B' grams.

Step 1: Calculate the total weight of the balls:
The average weight of 40 balls is 5 grams, so the total weight of the balls is:
Total weight of balls = Average weight of balls * Number of balls
Total weight of balls = 5 grams * 40 balls
Total weight of balls = 200 grams

Step 2: Calculate the total weight of the balls and the basket:
When the weight of the basket is added to the weight of the balls, the average increases by 0.5 grams. This means the total weight of the balls and the basket is:
Total weight of balls and basket = Average weight after addition * Number of balls
Total weight of balls and basket = (5 grams + 0.5 grams) * 40 balls
Total weight of balls and basket = 5.5 grams * 40 balls
Total weight of balls and basket = 220 grams

Step 3: Calculate the weight of the basket:
The weight of the basket can be found by subtracting the weight of the balls from the total weight of the balls and the basket:
Weight of the basket = Total weight of balls and basket - Total weight of balls
Weight of the basket = 220 grams - 200 grams
Weight of the basket = 20 grams

Hence, the weight of the basket is 20 grams.

Answer:
Option (a) 20.5 gm
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