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Solution 1: (the number of rabbit's feet, the total number of feet, the total number of feet) (the number of rabbit's feet, the number of chicken's feet).
Number of chickens Total number of chickens Number of chickens = number of rabbits.
Solution 2: ( Total number of feet Number of chicken's feet Total number of birds) (Number of rabbit feet Number of chicken's feet).
Number of rabbits Total number of rabbits Number of rabbits = number of chickens.
Solution 3: Total number of feet 2 - total number of heads = number of rabbits.
Total number of birds - number of rabbits = number of chickens.
Solution 4: The number of rabbits = the total number of feet 2 - the total number of heads.
Total number of birds - number of rabbits = number of chickens.
Solution 5 (Equation): x=( Total number of feet Number of chicken's feet Total number of chickens) (Number of rabbit feet Number of chicken's feet) (x=Number of rabbits).
Total number of birds - number of rabbits = number of chickens.
Solution 6 (equation): x = :( number of rabbit's feet total number of feet total number of feet) (number of rabbit feet number of chicken's feet) (x = number of chickens).
Total number of chickens = number of rabbits.
Solution 7 The number of chickens = (4 The total number of chickens and rabbits - the total number of chickens and rabbits) 2 The number of rabbits = the total number of chickens and rabbits - the number of chickens.
Solution 8 Total number of rabbits = (total number of chickens and rabbits - 2 total number of chickens and rabbits) 2 Number of chickens = total number of chickens and rabbits - total number of rabbits.
Solution 9 Total number of legs 2 - total number of heads = total number of rabbits - number of rabbits = number of chickens.
Answer: 16 chickens and 7 rabbits.
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I don't understand what it means to say 60 legs in two ways.
23 heads looking up, that's 23 chickens and rabbits.
Set the chicken x and the rabbit is 23-x
2x+4(23-x)=60
Solution x = 16 chickens is 16.
Rabbits are 23-16=7.
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Let's say it's all rabbits.
23*4=92 (only).
Chickens: (92-60) 2=16 (only).
Rabbits: 23-16 = 7 (only).
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35 chickens and 15 rabbits.
Analysis: There are a total of 50 heads, indicating that there are 50 animals, including a chicken with two legs and a rabbit with four legs.
If a person shouts 1 outside the cage, and all the animals lift one leg, then 50 animals lift a total of 50 legs, and the cage stands with 130-50=80 legs, and shouts 2 again, and all the animals lift one leg each, and there are 80-50 = 30 legs left in the cage, and the 30 legs are obviously all rabbits, and each rabbit has two legs left standing, so a total of 30 2=15 rabbits, then the chickens are 50-15=35 chickens.
There is also a mathematical algorithm, let x, assuming that the rabbit has x, then the chicken is 50-x, and the equation can be listed according to the total number of legs:
4x+2(50-x)=130
2x=30x=15
There are 15 rabbits and 50-15=30 chickens.
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Let each animal lift two legs, and 30 legs, and these legs are all rabbits, so 15 rabbits, then 50-15 chickens.
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35 chickens and 15 rabbits.
Let the number of chickens be x and the number of rabbits be y, then.
x+y=50 (a total of 50 heads, one chicken, one rabbit) 2x+4y=130 (a total of 130 legs, 2 chickens, 4 rabbits) is solved, x=35, y=15
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The quickest way to do it:
There are 50 heads in total, indicating that there are 50 animals, one of which is a chicken with two legs and a rabbit with four legs.
If a person shouts 1 outside the cage, and all the animals lift one leg, then 50 animals lift a total of 50 legs, and the cage stands with 130-50=80 legs, and shouts 2 again, and all the animals lift one leg each, and there are 80-50 = 30 legs left in the cage, and the 30 legs are obviously all rabbits, and each rabbit has two legs left standing, so a total of 30 2=15 rabbits, then the chickens are 50-15=35 chickens.
This solution is troublesome to describe, and it is the quickest to figure it out!
There is also a mathematical algorithm, let x, assuming that the rabbit has x, then the chicken is 50-x, and the equation can be listed according to the total number of legs:
4x+2(50-x)=130
2x=30x=15
There are 15 rabbits and 50-15=30 chickens.
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The Mathematics Q&A team will answer for you, I hope it will be helpful to you.
Chicken: (25*4-70) (4-2) = 15 assuming rabbits, with 25*4 legs, more than the actual one: (25*4-70) legs, there is 1 chicken with more (4-2) legs than the actual hand, get the above formula.
Rabbit: (70-25*2) (4-2) = 10 hypothetical chickens, with 25*2 legs, less than the actual one: (70-25*2) legs, there is 1 rabbit with (4-2) fewer legs than the actual one, and the above formula is obtained.
I wish you progress in your studies and go to the next level! (
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There's an easier way:
25 2 15 (only).
80 50 30 (only).
Rabbits: 30 2 15 (only).
Chickens: 25 15 10 (only).
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Assuming it's all rabbits, chickens have:
25 4-80) (4-2), 20 2, 10 (only), then rabbits have: 25-10 = 15 (only), A: There are 10 chickens and 15 rabbits
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Chickens and rabbits in the same cage have 25 heads and 70 legs, how many chickens and rabbits are there?
Chicken (4, 25-70), (4-2).
15 pcs. Rabbits 25-15 = 10.
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The chicken is 1 head and 2 legs, the rabbit is 1 head and 4 legs, and the rabbit has 2 more legs than the chicken, then.
Number of rabbits: (60-20*2) 2=10.
The number of chickens withered: 20-10 = 10.
Check the calculation: not careful.
10 * 2 + 10 * 4 = 60 records.
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Chickens and rabbits have 20 heads and 60 legs in the same cage, and there are x chickens and y rabbits, and the equation can be obtained.
x+y=20
2x+4y=60
The solution to eliminate the hole program can be answered by the late case.
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Suppose it's all chickens, and the co-fission has feet: 42 2 84 in the state file.
Rabbits: (120-84) (4-2) 18 rabbits.
Chickens have: 42-18 24 pcs.
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Suppose all rabbits (25x4-80) 2=10
Chickens are 10.
Rabbits are 25-10=15.
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Solution: If there are x chickens, then: rabbits have 25-x 2x+4(25-x)=802x=100-80x=1025-x=15Answer: There are 10 chickens and 15 rabbits.
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The chicken-rabbit cage problem does not require a column equation.
Suppose all the chickens lift one leg and the rabbit lays two legs on the wall of the cage, halving the total number of legs to get 40 legs
Obviously, there are as many rabbits as there are legs than heads, so.
There are 40-25=15 rabbits in total.
Chickens have 25-15=10.
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There are x chickens and y rabbits.
x+y=25
2x+4y=80
The solution is x=10 and y=15
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