Final answer:
The weight of the empty bottle is 3/8 kg. The contents of the completely filled bottle would weigh 1 1/8 kg.
Step-by-step explanation:
To find the weight of the liquid in a completely filled bottle, we need to first determine the weight of the empty bottle.
Given that a bottle 3/4 filled with the liquid weighs 1 1/2 kg and the liquid alone weighs 3/4 kg more than the empty bottle, we can set up the equation:
Weight of bottle + Weight of liquid = Total weight of bottle and liquid
Let's let x be the weight of the empty bottle. We can write the equation as:
x + (x + 3/4) = 1 1/2
Simplifying the equation, we get:
2x + 3/4 = 3/2
2x = 3/2 - 3/4 = 6/4 - 3/4 = 3/4
x = (3/4) / 2 = 3/8
Therefore, the weight of the empty bottle is 3/8 kg.
Now, since the bottle is completely filled, the weight of the liquid alone would be 1 1/2 kg - 3/8 kg = 1 1/2 kg - 3/8 kg = 1 4/8 kg - 3/8 kg = 1 1/8 kg.
So, the contents of the completely filled bottle would weigh 1 1/8 kg.