Chickens and rabbits have a total of 15 heads and 46 legs in the same cage, how many chickens and ra

Chickens and rabbits in the same cage. There are 15 in total, assuming that all of them are rabbits, then there are 60 legs in total, but now there are only 46 legs, 14 less, and each rabbit has 2 more legs than chickens, which means that 7 chickens can have 14 legs less, so there are 8 rabbits, 7 chickens, and chickens have 14 legs.

Chickens and ducks have 15 heads and 46 legs in the same cage, so there are 7 chickens and 8 rabbits.

The idea of solving the problem is that a chicken has two legs, and a rabbit has two more legs than a chicken, which is 4 legs. If they are all chickens with two legs, then there are 15 heads with a total of 30 legs. Now it is 46 legs, which is 16 more legs than 30 legs, which should be the two extra legs of the rabbit, so the rabbit is 16 2 = 8, then the chicken = 15-8 = 7

Suppose that all of these fifteen are chickens, then there will be sixteen extra legs, and then we can know that there are eight rabbits, and if we calculate that there are seven chickens.

Suppose 15 are all rabbits, then there should be 4 15 = 60 legs, so that there are actually 60-46 = 14 fewer than this, this is because there are chickens in the 15 heads, and each chicken has 4-2 = 2 legs less than rabbits, so there are chickens:

7 (only).

Knowing that chickens and rabbits have a total of 15 heads and 46 legs in the same cage, you can set a simple one-dimensional equation, let the chickens have x, according to the known conditions in the problem, the equation can be 2x 4 (15 x) = 46, solve the equation to get x = 7, and then use 15-7 = 8, the result is that there are seven chickens and eight rabbits.

Set the chicken as x rabbit as y x+y=15, the chicken has two legs and the rabbit has four legs, 2x plus 4y equals 46, you can calculate, x=7, y=8, so seven chickens and eight rabbits.

Number of chickens: 15 4-46) 2 = 7 (only).

Number of rabbits: 15-7=8 (only).

or] the number of rabbits:

46-15 2) (4-2) = 8 (only).

Number of chickens: 15-8=7 (only).

The upstairs answer is wrong. 4 rabbits with 16 legs, 11 chickens and 22 legs, a total of 38, the correct answer is 8 rabbits, 7 chickens, 15 chickens, all chickens. 15x2 = 3046-30 = 1616 (4-2) = 8 rabbits, 15-8 7 chickens.

Let the rabbit be x and the chicken be y, then.

x＋y＝15，4x＋2y＝46

Then these two formulas are calculated.

x＝8，y＝7

Summary. Solution: Suppose all chickens and rabbits: (46-2 15) (4-2) 8 (only) 15-8 = 7 (only).

A: There are 7 chickens

So the answer is: 7

Chickens and rabbits have a total of 15 heads and 46 legs in the same cage, how many chickens and rabbits are there?

Solution: Suppose all chickens are rabbits, rabbits: (46-2 15) regret (4-2) = 16 2 = 8 (only) 15-8 = 7 (only) Answer: Chickens have hidden shirts with 7 Therefore, the answer is: 7

Analysis Assuming that all the chickens are excited, then the number of legs in common is 2 15 = 30, and then compared with the actual number of feet, there are 46-30 = 16 less, that is, because each chicken has fewer feet than rabbits, so divide 16 by 2 to find the number of rabbits, and then get the number of chickens

Comment This problem belongs to the problem of chickens and rabbits in the same cage, and the key to solving this kind of problem is to use the hypothetical method to analyze and draw conclusions. It can also be solved with equations.

Chickens and rabbits are in the same cage, with a total of 20 heads and a total of 60 legs. How many chickens and rabbits are there?

Fast. Chickens and rabbits have a total of 20 heads in the same cage, a total of 60 legs, and how many chickens and rabbits are there.

If there are 10 chickens, then there are 0 rabbits.

If there are 10 chickens, then there are 10 rabbits.

Assuming that 15 heads are all chickens, then Chang Zhaomo only has 30 legs.

56-30) (4-2) = 13 annual rent rabbits.

2 chickens. You check the calculations and try to see as fast as you can.

If there are x chickens and y rabbits, then x+y=15(Because each chicken has a head, oak and rabbit).

A chicken has 2 legs and a rabbit has 4 legs, then 2x+4y=34, and the equation is solved: x=13, y=2, because there are 13 chickens and 2 rabbits.

Assuming that it is all Lu Xiaohui, then the rabbit has:

8 (only), then the chickens have: 20-8 = 12 (only) early hunger;

A: There are 12 chickens and 8 rabbits

Assuming that all rabbits stand upright with their front feet raised, 24 chicken rabbits should have legs: 24 2=48 (orange mold strip).

Number of legs reduced: 66-48 = 18 (bars).

The number of rabbits: 18 2 = 9 (only).

Number of chickens: 24-9=15 (destroyed chickens).

Using the leg lift method, each animal lifts two legs, and the rest is the rabbit legs, divided by 2 to get the number of rabbits.

Rabbits have: 16-5x2) (4-2).

3 pcs. Chickens: 5-3=2.