1, column equation method
Solution: If there are X monks and (100-x) young monks, we can get 3x+( 100-x)/3= 100 big monks: x=25 (people) young monks: 100.
2. Hypothetical method
Solution: Assuming that 100 people are big monks, then * * * needs (3x 100 =) 300 steamed buns, but actually there are only100. Why are there 200 lovers Wang Cha (300-65,438+000 =)? Because some people in 100 people. Number of Big Monks: 100-75=25 (people) (Question: How did 75 come from? Similarly, it can also be solved by "assuming that 100 people are young monks".
The number of young monks is: 3×25=75 (people); The number of big monks is: 100-75=25 (people). Of course, assuming that 100 steamed buns are all given to the young monk, you can also answer this question.
Solution 2 Assuming that all the 100 people are young monks, after the young monks are full, there are (100- 100/3) buns left in the bun pile, but they are actually eaten up. Why are they all eaten?
It turned out that all the remaining steamed buns were eaten by the big monks in the monk group. At first, it was not a big monk's appetite, but now we have to make up the big monk's appetite. The appetite of the big monk is (3- 1/3). According to the number of leftover steamed buns and the source of big monks, the quotient of appetite is the number of big monks (100-65438).
Of course, we can get the number of young monks: 100-25=75 (people). If we assume that all the big monks are the same. This kind of problem is similar to the solution of chicken and rabbit problem (chopping feet). Of course, it is best to use equations to solve problems.