Taking pictures of chickens and rabbits in the same cage is a common mathematical problem and an ancient puzzle. The basic idea is: in a cage, there are several chickens and rabbits, and their total number is known. Find the number of each chicken and rabbit.
The specific steps are as follows:
Suppose there are x chickens and y rabbits in the cage. Take photos as a souvenir and record X chicken and Y rabbit at the same time. Calculate * * *, that is, the total number of x+y, and check the photos to make sure that the number of each chicken and rabbit is correct. If the number of chickens is greater than the number of rabbits, add a chicken or a rabbit until the number of chickens and rabbits is equal. If the number of rabbits is greater than the number of chickens, reduce one rabbit or chicken until the number of chickens and rabbits is equal.
Through the above steps, we can get the answer. If there are x chickens and y rabbits in the cage, x+y=n, the answers are n-/kloc-0 per chicken and n+/kloc-0 per rabbit. For example, there are 3 chickens and 4 rabbits in the cage, so the total number of * * * is 3+4=7. I checked the photos and found that the number of each chicken and rabbit is correct, so the answer is 7- 1=6 chickens and 7+ 1=8 rabbits.
Hypothetical method
The assumption that chickens and rabbits live in the same cage is a method to solve the problem of chicken and rabbit population. The basic assumption is that there are several chickens and rabbits in a cage, and their total number is fixed, and their number does not exceed a certain limit. Assuming that each chicken and rabbit has a fixed number, their total number is certain.
According to this assumption, we can list equations to solve the problem. Suppose there are x chickens and y rabbits in the cage, then: x+y= total.
Every chicken and rabbit has a fixed number, so: x= the number of chickens, y= the number of rabbits. According to the above two equations, we can get: x+y= total number, and the number of chickens+the number of rabbits = total number.
Therefore, we can get the second equation: total number = number of chickens+number of rabbits. According to the first equation, we know that x= the number of chickens. Substituting x= number of chickens into the second equation, we get: total number = number of chickens+number of rabbits = x+y.
Therefore, we can get the third equation: x+y= total number. Substituting the x and y in the second equation into the third equation, we can get: x+y= (x+y)+y=2+y=2y+2=4.