Question

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. Whta is the total weight, in kg,when the bucket is completely full? plz solve it step wise.

Answer 1

Let x be the weight of the bucket
And let y be the weight of the water when the bucket is full

Now when bucket is half full, the total weight is 10kg
So,
x+y/2 = 10 .......1)

And when the bucket is 2/3 of its capacity then its weight is 11kg
x+2y/3 =11........2)

We solve the equations  for getting the values for y and x
So substracting the equation 1 by 2
We get,
2y/3  -  y/2  =1
y/6=1
y=6
Substituting this value in equation 1 we get
x= 10 - 3
x=7

So total weight when the bucket is at its full capacity is x+y
=6+7=13
So total weight will be 13kg

Answer 2

Answer:

13 Kg

Step-by-step explanation:

Let x be the weight of the bucket And let y be the weight of the water when the bucket is full Now when bucket is half full, the total weight is 10kg So, x+y/2 = 10 .......1) And when the bucket is 2/3 of its capacity then its weight is 11kg x+2y/3 =11........2) We solve the equations  for getting the values for y and x So substracting the equation 1 by 2 We get, 2y/3  -  y/2  =1 y/6=1 y=6 Substituting this value in equation 1 we get x= 10 - 3 x=7 So total weight when the bucket is at its full capacity is x+y =6+7=13 So total weight will be 13kg