100 and monk fen 140 steamed stuffed bun, a big monk 3 and a little monk 1. Ask how many big and small monks there are (list the formulas).

Analysis and answer: This question evolved from the famous "Hundred Monks Divide Steamed Buns" in ancient China. If the big monk and the little monk are regarded as chickens and rabbits respectively, and the steamed buns are regarded as legs, then the problem of chickens and rabbits sharing cages can be solved by hypothetical methods.

Assuming that 100 people are big monks, then * * * needs 300 steamed buns, which is 300- 140 = 160 (one) more than the actual situation. At present, young monks are replaced by big monks, and every time they change buns, there will be fewer.

3- 1 = 2 (a), because 160÷2=80, there are 80 young monks and 80 big monks.

100-80 = 20 (person).