What are the exercises for chickens and rabbits in the same cage, and what are the questions and ans

Chickens and rabbits have a total of 100 legs, and if you replace chickens with rabbits and rabbits with chickens, there are 92 legs. How many chickens are there? What about rabbits?

Analysis This question is a bit more complicated than the previous "chickens and rabbits in the same cage" problem. Think of it this way: because the chicken is replaced with a rabbit, and the rabbit is replaced by a chicken, the number of feet is reduced by 100-92 8 (only), and a rabbit is replaced with a chicken foot to reduce 2, and a chicken is replaced with a rabbit's foot to increase by 2, and the total number of feet is reduced, indicating that the original rabbit is more than the chicken.

How much? A rabbit has more feet than A chicken is 100 92 8 (only).Because a rabbit has 2 more legs than a chicken, so.

a 8 2 4 (only).

It is also said that there are 4 more rabbits than chickens. Now the question becomes: "There are 100 chickens and rabbits, and there are 4 more rabbits than chickens. "I believe that the students will ask, please do the math yourself, and then see the answer below.

The solution is that after the chicken is replaced with a rabbit, and the rabbit is replaced by a chicken, the number of feet decreases.

100 92 8 (only), so the original rabbits were more than chickens, more.

8 (4 2) 4 (only)

These 4 rabbits have a total of 4 4 16 legs.

Thus equal chickens and rabbits have a total of 100 16 84 feet

Since a chicken and a rabbit have a total of 6 legs, the number of chickens is.

84 6 14 (only).

The number of rabbits is 14, 4, 18 (only).

The comprehensive equation is:

100－8÷2×4）÷6＝（10o－16）÷6

84 6 14 (only).

14 4 18 (only).

A: There are 14 chickens and 18 rabbits.

100-92=8 So 100-16=84 84 6=14 So there are 14 chickens and 14+4=18 rabbits.

The question and answer of the chicken and rabbit in the same cage are:

There are 100 chickens and rabbits, and the number of legs of chickens is 28 less than that of rabbits.

Solution: 4*100 400,400-0 400 Suppose they are all rabbits, there are a total of 400 rabbit feet, then the chicken's feet are 0, and the chicken's feet are 400 fewer than the rabbit's feet.

400-28 372 The actual number of chickens' feet is 28 fewer than that of rabbits, a difference of 372 feet.

4+2 6 This is because if a rabbit is replaced by a chicken, the total number of rabbits will be reduced by 4 (from 400 to 396), the total number of chickens will increase by 2 (from 0 to 2), and their difference will be 4+2 6 less (i.e. the original difference is 400-0 400, and now the difference is 396-2 394, which is 400-394 6).

372 6 62 indicates the number of chickens, i.e. since there are 62 chickens out of 100 rabbits in the hypothesis, the difference in the number of feet is changed from 400 to 28, a total difference of 372 chickens.

100-62 38 indicates the number of rabbits.

Question: Today, there are pheasants and rabbits in the same cage, with 35 heads on the top and 94 feet on the bottom. The meaning of these four sentences is:

There were several chickens and rabbits in the same cage, counting from above, there were 35 heads; Counting from below, there are 94 feet. Q: How many stools are there in each cage, Zheng chicken and rabbit?

You set the chickens to be x, and then the rabbits to be (35-x).

Since chickens have two legs, the number of chickens is 2x. x is the number of chickens, subtract the number of chickens from the total number is the number of rabbits, and then multiply by 4.

The column formula is: 2x+(35-x)=94

Column equations. How many heads and feet do you have in your title? I'm now assuming that there are 5 heads and 14 feet.

Let there be x chickens and y rabbits, chickens with two legs and rabbits with four legs. Then you can get the equation to do.

x + y = 5

2x + 4y = 14

The solution yields x = 3 and y = 2

How many heads and feet of chickens and rabbits in your problem are substituted into the equation system.

If you are still a primary school student and have not learned a binary equation, then you can still use a binary equation, when you assume that there are x chickens, it means that there are 5 - x rabbits, then according to the number of feet with the head of the head can be 2x + 4(5 - x) = 14

Rabbits: 94-35-35 = 24 pcs.

Chickens: 35-24 = 11 chickens.

A: There are 11 chickens and 24 rabbits.

Buy 2 yuan, 8 jiao, 6 jiao three kinds of stamps a total of 20, the total value of 22 yuan. Among them, the number of stamps of 2 yuan and 6 jiao is equal, how many stamps are there for each of the three stamps? Binary = 20 jiao Twenty-two = 220 jiao.

Assuming that the binary is x, then the hexagonal is x, and the octagonal is 20-2x. From the meaning of the title.

20x+6x+8(20-2x)=220

26x+160-16x=220

10x=60

x=620-2x=20-6*2=8

Answer: Six cards each for binary and hexagonal ones, and eight cards for octagonal ones.

Chickens and rabbits in the same cage example: Chickens and rabbits in the same cage, 8 more chickens than rabbits, chickens and rabbits have a total of 88 feet, ask how many chickens and rabbits are there?

There are a number of chickens and rabbits, they have a total of 88 heads, 244 legs, and how many chickens and rabbits each have.

The red pencil is each yuan, the blue pencil is each yuan, and the two pencils are 16 yuan for the banquet in the town, and they cost yuan. Ask how many red and blue pencils to buy.

It takes 6 hours to complete a manuscript typed by A alone. It took 10 hours for B to type alone, and now after A has been typing for a number of hours alone, B continues to type because of something, and it takes 7 hours. How many hours did A take to type.

Chickens and rabbits are in the same cage, with a head of 17 and a foot of 42. How many chickens and rabbits are there?

Chickens and rabbits in the same cage formula.

Solution 1: (Number of rabbit's feet, Total number of feet, Total number of feet) (Number of rabbit's feet, Number of chicken's feet) = Number of chickens.

Total number of chickens = number of rabbits.

Solution 2: ( Total number of feet Number of chicken's feet Total number of feet) (Number of rabbit's feet Number of chicken's feet) = Number of rabbits.

Total number of rabbits = number of chickens.

Solution 3: Total number of feet 2 - total number of heads = number of rabbits.

Total number of rabbits = number of chickens.

Chickens and rabbits in the same cage. A kind of math problem).

Chickens and rabbits in the same cage is one of the famous typical interesting questions in ancient China, which is recorded in the "Sun Tzu Sutra". The problem of chickens and rabbits in the same cage is a common question type in the Mathematics Olympiad in primary schools. Many elementary school arithmetic problems can be transformed into this type of problem, or they can be solved in the typical way of solving it"Hypothetical method"to solve.

Therefore, it is necessary to learn its solutions and ideas. Usually the hypothetical method is a little simpler and easier to understand.

Answer: Hello, dear, the basic idea: Hypothesis, that is, assuming that a certain phenomenon exists (A and B are the same or B and A are the same): After hypothesis, there is a difference that is different from the condition of the question, find out how much this difference is; The difference caused by each thing is fixed, so as to find out the cause of this difference; Then make appropriate adjustments according to these two differences to eliminate the differences.

Basic formula: Suppose all chickens are rabbits: number of chickens = (number of rabbit feet total number of heads - total number of feet) (number of rabbit feet - number of chicken feet) assume all rabbits as chickens:

Number of rabbits = (total number of feet - number of chicken feet Total number of heads) (number of rabbit feet - number of chicken feet) Key question: Find the difference between the total amount and the unit quantity.