Mass and weight are different from each other.
True
Mass and weight are always confusing aren't they?
That's because they are veryclosely related. Mass is the amount of matter in something. If something has more mass, we can say that it has more stuff in it. To be more precise, we can say it has more protons and neutrons within the space it occupies.
Now weight is a way to measure this mass. We can't go around counting the protons and neutrons of everything can we? So we found that there is a force called gravity. The cool thing about this force is that only things with masscan apply gravity force. More mass -> more force. Less mass -> less force. Our mass is so less that the force we apply on objects like a book is very, very, verytiny. Since the earth is so huge, it applies a good amount of force on objects. You, me, a cup, a flower etc.
We named this force that's acting on the mass of an object weight. And since earth pulls towards its centre, you only feel it downward, and not sideways or upwards.
So, if the force depends on the object that's pulling it, would it change? Of course! Your weight on the moon would be lesser, as the moon is much smaller than the earth and applies a much smaller gravity force.