The weight of bucket with water is 36 kg. If the weight of half filled
bucket is 21 kg. Find the weight of the vacant bucket.
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10th
Maths
Pair of Linear Equations in Two Variables
Algebraic Solution of a Pair of Linear Equations
When a bucket is half full,...
MATHS
When a bucket is half full, the weight of the bucket and the water is 10kg. When the bucket is two-thirds full, the total weight is 11kg. What is the total weight, in kg, when the bucket is completely full?
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ANSWER
Let the weight of the empty bucket be B kg and total weight of water it can accommodate be W kg.
∴B+
2
W
=10 ...(1)
Also, B+
3
2W
=11 ...(2)
Subtracting (1) from (2), we have
3
2W
−
2
W
=1
∴
6
4W−3W
=1 or W=6
∴B=7
Total weight when completely filled =B+W=13 kg
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