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On the first day of math problems, you eat in the school cafeteria. You go to the A canteen and the B canteen the next day.
"If two canteens have the same number of people" means the first day or the second day?
I guess you mean the next day:
Let's assume that the number of people dining in B canteen on the first day is X, so: 8000 (1-20%)+30% * x = x * (1-30%)+20% * 8000.