A bucket completely filled with water weighs 30 kg; When 4/5 of it is filled with water it weighs 26 kg. What is the weight of the empty bucket?
Answers
Answer:
10 Kg
Step-by-step explanation:
Q) A bucket, completely filled with water, weighs 30 kg. When 4/5 of it is filled with water, it weighs 26 kg. What is the weight of the empty bucket?
Weight of the bucket when completely filled with water = 30kg
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Sol) Weight of the bucket when 4/5 part is filled with water = 26kg
Assume the weight of bucket as X kg.
Therefore,
(Total weight of bucket filled with 5/5 parts of water ) - (Weight of bucket filled with 4/5 parts of water) = (Weight of 1/5 parts of water)
30+X−(26+X)=Weightof1/5partofwater
=>30+X−26−X
=>4
So, if 1/5 part of water weighs 4kg, then weight of water completely filled in the bucket (5/5) =
4 * 5 = 20kg.
Since, weight of the bucket + water completely filled = 30kg.
Therefore,
20kg + X kg = 30 kg
X = 10 kg.
So, Weight of the bucket is 10kg.
HOPE IT HELPS....