The average weight of a group of 15 Bamboo sticks is 20 kg. When a broken bamboo stick is removed from that group, the average decreases by 1 kg. What is the weight of that broken bamboo stick?
The average weight of a group of 15 Bamboo sticks is 20 kg. When a broken bamboo stick is removed from that group, the average decreases by 1 kg. What is the weight of that broken bamboo stick? Correct Answer 34 kg
Given:
The average weight of a group of 15 Bamboo sticks is 20 kg.
Formula used:
Average weight = (Total weight of items/Number of items)
Calculation:
Total weight of 15 bamboo sticks = 15 × 20 = 300
Total weight of 15 bamboo sticks = 300 kg
When a broken bamboo stick is removed from that group, the average decreases by 1 kg:
⇒ New average = 19 kg
⇒ Number of bamboo sticks = 14
Total weight of 14 bamboo sticks = 14 × 19 = 266
Total weight of 14 bamboo sticks = 266 kg
The weight of that broken bamboo stick
= Total weight of 15 bamboo sticks - Total weight of 14 bamboo stick
= 300 - 266
= 34
∴ Weight of that broken bamboo stick = 34 kg
