# A full tin of paint has a mass of 27 kg. When the same tin is 2/5 filled with paint, it has a mass of 12 kg. What is the mass of the empty tin?

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The mass of empty tin is 2 kg

x= mass of tin

y=mass of paint

and equations are 2x+2y=54

and 5x+2y=60

x= mass of tin

y=mass of paint

and equations are 2x+2y=54

and 5x+2y=60

let the mass of the paint be p

then the first equation is 2x+2p = 54

second 5x+2y= 60

hence the weight of empty tin is 2 kg