A bottle full of liquid has a total mass of 1.27kg. When the bottle is half-full of liquid the total mass is 900 grams.
Calculate the mass of the bottle.

Step-by-step explanation:

Let “x” be the weight of the bottle and “y” is weight of honey.

We know the total weight of bottle full of honey is 1000 g.

So Equation 1 is x + y = 1000 g

And with half of the honey, we know the total weight is 600g.

Equation 2: x + (y/2) = 600 g

y/2=600 - x

y= 2 (600 - x)

y= 1200 - 2x

We can replace “y” with 1200 - 2x in Equation 1:

x + 1200 - 2x = 1000

x = 200 g

Weight of the bottle is 200 g.