Royal Descent - Futility Closet

A puzzle from Stuart Collingwood’s Lewis Carroll Picture Book, 1899:

A captive Queen and her son and daughter were shut up in the top room of a very high tower. Outside their window was a pulley with a rope round it, and a basket fastened at each end of the rope of equal weight. They managed to escape with the help of this and a weight they found in the room, quite safely. It would have been dangerous for any of them to come down if they weighed more than 15 lbs. more than the contents of the lower basket, for they would do so too quick, and they also managed not to weigh less either.

The one basket coming down would naturally of course draw the other up.

The Queen weighed 195 lbs., daughter 105, son 90, and the weight 75.

How did they do it?

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The weight is sent down; the empty basket comes up. The son goes down; the weight comes up. The weight is taken out; the daughter goes down; the son comes up. The son gets out; the weight goes down; the empty basket comes up. The Queen goes down; the daughter and weight come up together; the daughter gets out. The weight goes down; empty basket comes up. The son goes down; the weight comes up. The daughter removes the weight and goes down; the son comes up. The son sends down the weight; empty basket comes up. The son goes down; the weight comes up. The son gets out; the weight falls to the ground.

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