Bailee is incorrect. The mass of the objects stays the same but weight will change.
Weight is the force exerted by gravity on an object, and it depends on both the mass of the object and the gravitational acceleration acting on it. While the mass of an object remains constant regardless of location, its weight changes depending on the gravitational pull of the celestial body it is on (for example, it is about 1/6th of its weight on Earth when on the moon).