Question

A bottle X is filled entirely with lemon juice. It contains 1 liter of lemon juice. Hansa pours
juice from this bottle X into two empty bottles Y and Z. Bottle Y is half as big as bottle X with
respect to the capacity. After the filling operation, bottle X still contains 0.6 liter of juice:
1/5 capacity of bottle Y and half capacity of bottle Z is full of juice. Hansa fills bottle Z with
water until the bottle is full.
Select the quantity of liquid bottle Z has in litre :​

Answer 1

Answer:

refer to the attached pic.

z is of 0.25 litrez.

Answer 2

Given:

X contain 1 litre of lemon juice

X is poured into Y and Z

X is left with 0.6 litres

Y has a capacity of half as much as X and it is 1/5 filled.

Z is filled to half full.

To FInd:

The capacity of Z

Solution:

Find the capacity of Y:

Capacity of Y  = 1/2 of X

Capacity of Y = 0.5 litres

Find the amount of liquid in Y:

Y is filled to 1/5 full

Amount of liquid = 1/5 x 0.5 litres

Amount of liquid = 0.1 litres

Find the amount of liquid in Z

Amount of liquid left in X = 0.6 litres

Amount of liquid in Y = 0.1 litres

Amount of liquid in Z = 1 - 0.6 - 0.1

Amount of liquid in Z = 0.4 litres

Find the capacity of Z:

Z is half filled with the liquid

Z's capacity = 2 x 0.4

Z's capacity = 0.8 litres

Answer: The bottle Z contains 0.8 litres of liquid