The simplest problem of chickens and rabbits in the same cage

2. Think about it and fill it in.

1. There are 8 chickens and rabbits, with 22 legs, chickens and rabbits.

2. Fangfang's family has a number of sheep and ducks, 10 heads from the top and 28 from the bottom.

feet, sheep have ( ) and ducks have ( ) .

3. There are 7 tricycles and cars in the parking lot, with a total of 25 wheels. Tricycles have.

cars, cars have ( ).

Yuan and 5 yuan are a total of 9 sheets, totaling 33 yuan. There are ( ) sheets for 2 yuan and ( ) sheets for 5 yuan.

5. The length of a rectangle is 2cm longer than the width, and the circumference is 20cm, then the length of the rectangle is.

cm, the width is ( ) cm, and its area is ( ) cm2.

3. Take a seat.

1. The fountain pen is 12 yuan each, and the ballpoint pen is 7 yuan each, a total of 6 were bought, and 52 yuan was used, and the fountain pen was bought.

a、5 b、4 c、3 d、2

2. In basketball, a shot from outside the 3-point line is worth 3 points, and a shot from inside the 3-point line is worth 2 points. In one game, Wang Qiang made a total of 9 shots and scored 20 points, and he hit ( ) 2-pointers.

a、2 b、4 c、5 d、7

3. My mother bought a total of 6 kilograms of cucumbers and tomatoes and spent 10 yuan. It is known that cucumbers are yuan per kilogram, tomatoes are yuan per kilogram, and my mother bought ( ) kilograms of cucumbers.

a、1 b、2 c、3 d、4

Famous teachers and students went rowing in the park, and there happened to be a total of 5 large and small boats. The big boat seats 6 people each, and the small boat seats 4 people each, and ( ) small boats are rented.

a、1 b、2 c、3 d、4

5. There are a total of 20 multiple-choice questions in the mathematics competition, 5 points will be awarded for 1 correct answer, and 1 point will be deducted for incorrect or non-answering.

Xiao Wang scored 82 points in the competition, and he answered ( ) questions correctly.

a、3 b、10 c、17 d、18

Fourth, use simple methods to calculate.

5. Complete the following questions as required.

1. Chickens and rabbits are in the same cage, with 25 heads and 80 legs, how many chickens and rabbits are there? (Could you please use the hypothetical method?)

2. New Year's activities should be hung with colorful balloons. Class Six (1) had 13 participants in the balloon blowing group. The male students blew 8 balloons each, and the female students blew 7 balloons, for a total of 100 balloons.

Could you please use the list method to calculate how many male and female students there are?

Male classmates (people).

Female classmates. people).

3. In physical education class, a total of 42 students participated in the activity, with a group of 5 people skipping rope and a group of 3 people throwing sandbags. How many people participated in skipping rope and throwing sandbags?

Please use the method of column equations to solve the problem).

4. In the comprehensive knowledge competition, 10 points will be added for one correct answer, and 4 points will be deducted for one wrong answer.

Student A answered a total of 10 questions, and finally scored 72 points, how many questions did he answer correctly?

Student B answered a total of 12 questions and scored 22 points in the end, how many questions did he answer incorrectly?

6. Smart House.

Carrying 1,000 glass bottles, it is stipulated that you can get a handling fee of 3 jiao for moving one, but you only need to pay 5 jiao for breaking one. If you get a total of 260 yuan for freight after transportation, how many glass bottles are broken during transportation?

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: (Rabbit's Feet, Total Feet, Total Feet) (Rabbit's Feet, Chicken's Feet) The number of chickens. Total number of chickens = number of rabbits.

Solution 2: ( Total number of feet Number of chicken feet Total number of birds) (Number of rabbit feet Number of chicken 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.

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, rabbits in the same cage, a total of 100 heads, 316 feet, begging chickens, rabbits how many are there?

There are chickens, eight-legged spiders and rabbits in a cage, with 14 heads and 58 legs.

There are 25 20 yuan and 50 yuan banknotes in the teacher's wallet, and how many banknotes are worth 800 yuan, 20 yuan and 50 yuan?

Xiaoqing did the questions, a total of 20 questions, scored 52 points, got 5 points for doing a question correctly, did not do 0 points, and deducted 2 points for doing it wrong, he did as many questions as he did wrong. How many questions did Xiaoqing get right?

1.Zhang Ming participated in the school competition, with a total of 20 questions, 5 points were added for a correct answer, and 2 points were deducted for each wrong answer or not answered, and Zhang Ming scored 86 points. How many questions did Zhang Ming answer correctly?

2.A transportation company transports glass to a glass factory, and the contract stipulates: 5 yuan freight for transporting a box of glass to the destination intact; If a box is damaged, not only will the freight not be paid, but the owner will be compensated 40 yuan.

The transportation company shipped a total of 2,000 boxes of glass, and finally received a freight of 9,190 yuan. How much glass did the shipping company damage during transportation?

3.The turtle and the crane have 40 and only 112 legs, how many turtles and cranes are there?

4.Chickens and rabbits are in the same cage, with 35 heads on and 94 feet on the bottom, so how many chickens and rabbits are in the cage?

5.Chickens and rabbits in the same cage question: There is a group of chickens and rabbits today, there are 42 heads from above, and a total of 100 legs from below, how many chickens and rabbits are there?

A mountain of rabbits, a mountain of pheasants, two mountains into a mountain, count the head 3600, count the legs 11000, ask how many chickens and how many rabbits.

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.