Bailee is incorrect. The mass of the objects stays the same, but the weight will change.
Weight is a measure of the force exerted by gravity on an object, which depends on both the mass of the object and the gravitational acceleration. While mass is constant regardless of location, weight varies with the gravitational pull. On the Moon, where gravity is about 1/6th that of Earth's, objects weigh less than they do on Earth, but their mass remains unchanged.