What are the questions and answers to chickens and rabbits in the same cage?

100 steamed buns, 3 for 1 big monk, 1 for 3 small monks; There are x big monks, and they eat steamed buns.

3x, the little monk is (100-x), and the steamed bun is 1 3 (100-x). So that the equation is well listed:

Set: x people for the big monks, 100-x people for the small monks. Solution:

3x+1 3(100-x)=100 3x+100 3-1 3x=100 Multiply both sides by 3 to get

9x+100-x=300 8x=200 x=25 (Great Monk).

100-25=75 (Little Monk).

A: 25 for adults and 75 for children

3x is x big monks multiplied by 3 steamed buns, that is to say, 3x is all the steamed buns eaten by big monks;

100-x is a total of 100 monks, minus x big monks, the rest is the little monk, 1 small monk eats 1 3 steamed buns 1 3 times (100-x) is all the steamed buns eaten by the little monks.

3x (all steamed buns eaten by the big monk) + 1 3 (100-x) (all steamed buns eaten by the little monk).

100 steamed buns.

Solution: 3x+1 3 (100-x)=100 Calculate the parentheses:

3x+1/3×100-1/3x=100 3x+100/3-1/3x=100

Multiply each number on both sides by 3 (turning the fraction into an integer) to get :

9x+100-x=300 8x=300-100 x=25 (Great Monk).

100 monks - 25 big monks = 75 small monks.

Set up unknowns. x big monks, y small monks. x+y=100，3x+y/3=100.Solution: x=25, y=75. So the big monks are 25 and the small monks are 75. The landlord gives points! Thank you.

A big monk is 3, a small monk is 1 3, a big monk eats 8 3100 more than a small monk, a monk is 300, 100 small monks eat 100 3 a big monk eats 300-100 3 more than a small monk, and the number of big monks (300-100 3) (8 3) = 25

The number of small monks is 100-25 = 75

The details are as follows:

Chickens and rabbits have a total of 80 heads and 208 feet in the same cage, how many chickens and rabbits are there?

Analysis: Assuming that these 80 heads are all chickens, then the feet should be 2 80 160 (only), which is 208 160 48 (only) less than the actual one.

Feet, this is because 1 rabbit has 4 legs, think of it as a chicken with 2 legs, each rabbit is less than 2 feet, a total of 48 feet are undercounted, 48 have a few 2s in it, that is, a few rabbits.

Solution: (208 2 80) (4 2).

24 (only) - rabbits.

80 24 56 (only).

A: There are 56 chickens and 24 rabbits.

It can also be assumed that all 80 are rabbits, and the answer is as follows:

Solution: (4 80 208) (4 2).

56 (pcs) - Chickens.

80 56 24 (only).

Chickens and rabbits in the same cage is one of the famous interesting topics in ancient China. About 1,500 years ago, this interesting question was recorded in the "Sun Tzu's Sutra". Here's how it is narrated in the book:

Today there are pheasants and rabbits in the same cage, there are thirty-five heads on the top, and there are ninety-four feet under it. The meaning of these four sentences is: There are several chickens and rabbits in the same cage, and counting from above, there are 35 heads; Counting from below, there are 94 feet.

Q: How many chickens and rabbits are in the cage?

There's a simplest algorithm for this.

Total number of feet Total number of heads 2) 2 = number of rabbits Total number of heads Number of rabbits = number of chickens.

Explanation: Let both the rabbit and the chicken lift their two feet, so that the number of feet in the cage is reduced by 2, since the chicken only has 2 feet, so there are only rabbits left in the cage, and then divide by 2 to get the number of rabbits. Don't say that rabbits and chickens are disobedient, and in reality, no one is in the same cage.

It reads as follows:1. There are 20 chickens and rabbits, 44 feet, and how many chickens and rabbits?

2. The turtle crane has a total of 100 heads and 350 legs. How many turtles and cranes are there?

3. Chickens and rabbits are caged, there are 4 more rabbits than chickens, a total of 76 feet, how many chickens and rabbits are there?

4. There are 200 chickens and rabbits, and the chicken's feet are 56 fewer than the rabbit's feet, so how many chickens are there and how many rabbits are there?

5. Chickens and rabbits are caged, there are 26 more chickens than rabbits, and a total of 274 chickens and rabbits.

6. Cranes and turtles are in the same pool, there are 12 more cranes than turtles, and cranes and turtles are feet.

There are 72 turtles in total, how many cranes and turtles are there?

The math problems of chickens and rabbits in the same cage are often encountered by us, and I have compiled 10 chickens and rabbits in the same cage and their answers!

1. Chickens and rabbits live in a cage, and there are 35 known chicken heads and rabbit heads, and 94 chicken feet and rabbit feet. How many chickens and rabbits are there?

2. A total of 120 students in grades 4 and 6 watered the trees. One of the sixth-graders carried two buckets of water, and two fourth-graders carried one bucket of water, and they watered a total of 180 buckets at one time. How many people in each of the 4th and 6th grades participated in watering?

3.Chickens and rabbits are in the same cage, with 20 heads and 48 legs. Ask for the number of chickens and rabbits.

1) There are x chickens and y rabbits.

x+y=35

2x+4y=94

The joint solution yields x=23 and y=12

A: There are 23 chickens and 12 rabbits.

2) If there are x people in the fourth grade, then there are 120-x people in the sixth grade.

x/2+（120-x）*2=180

x+480-4x=360

x=40 (person).

A: There were 40 people in the fourth grade who participated in watering and 80 people who participated in the sixth grade.

3) Solution: Suppose it's all chickens.

20*2=40 (only).

48-48=8 (only).

4-2=2 (only).

8 2 = 4 (only) - rabbit.

20-4 = 16 ——— chickens.

1. Chickens and rabbits in the same cage, a total of 30 heads, 86 feet, how many chickens and rabbits are there?

2. There are 20 RMB sheets of 5 yuan and 10 yuan, a total of 175 yuan, how many RMB of 5 yuan and 10 yuan are there?

3. Mr. Wang bought a total of 15 ballpoint pens and fountain pens, each ballpoint pen and fountain pen were yuan, and a total of yuan was spent, how many ballpoint pens and fountain pens were bought?

4. Chickens and rabbits are in the same cage, with a total of 35 heads and 94 legs.

5.The head teacher, Mr. Zhang, led 50 students from the fifth grade (2) class to plant trees, Mr. Zhang planted 5 trees, each boy planted 3 trees, and each girl planted 2 trees, a total of 120 trees were planted.

6.Large oil bottles contain 4 kg per bottle, 2 small oil bottles contain 1 kg, and there are a total of 60 bottles of 100 kg of oil. Q: How many large and small oil bottles are there?

7.Xiao Mao participated in the math competition, did a total of 20 questions, scored 64 points, knew to do a correct one to get 5 points, did not do 0 points, wrong question deducted 1 point, and knew that he did the wrong questions and did not do as much. How many questions did Xiaomao get right?

8.There are 18 spiders, dragonflies, and cicadas, with a total of 118 legs and 20 pairs of wings (spiders have 8 legs; Dragonfly 6 legs, 2 pairs of wings; Cicadas have 6 legs and 1 pair of wings), how many of each of the three animals?

9. Chickens and rabbits are in the same cage, with a total of 20 heads and 62 feet.

10. Xiaohua bought a total of 34 stamps of 2 yuan and 5 yuan, and spent 98 yuan. How many stamps did Qiu Xiaohua buy for 2 yuan and 5 yuan?