Concentration Cells: Why does reduction take place at the cell with greater concentration?

[Sofia Lucido 3L]

I was doing textbook problem 6.53 and I was wondering for part a, why reduction takes place at the cell with greater concentration?

Also for part b of this question, how would you mathematically show that cell potential increases when the concentration of the anode decreases?

[Kaihan_Danesh_2J]

To answer the first part of your question, reduction takes place at the electrode with a greater concentration solution because when reduction takes place, it uses up the ions in the solution and stabilizes them, making the concentration decrease whereas oxidation creates more ions and increases the concentration on the anode end.