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URLhttps://www.hackmath.net/en/math-problem/56
Last Crawled2026-04-05 20:29:52 (9 days ago)
First Indexed2019-10-09 10:37:27 (6 years ago)
HTTP Status Code200
Meta TitleSolved math question - Chickens and rabbits 56
Meta DescriptionIn a farmyard there were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard?
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In a farmyard there were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard? Final Answer: a =   10 b =   20 Step-by-step explanation: a + b = 3 0   2 ⋅   a + 4 ⋅   b = 1 0 0     2 a + 4 b = 1 0 0     P i v o t : R o w 1 ↔ R o w 2     R o w 2 − 2 1 ​ ⋅   R o w 1 → R o w 2   − b = − 2 0     b = − 1 − 2 0 ​ = 2 0   a = 2 1 0 0 − 4 b ​ = 2 1 0 0 − 4 ⋅   2 0 ​ = 1 0     a = 1 0   b = 2 0 Try another example Help us improve! If you spot a mistake, please let let us know . Thank you! Showing 4 comments: Math student We know that chicken has 2 legs and rabbit has 4. Assume that all heads are of chicken = 44*2 = 88. Now the difference between the total no. Of legs = 124-88 = 36. 36/2 =18 legs of Rabbits and 44-18 = 26 for chicken 8 years ago   51 Likes Like Math student 40 chickens means 80 legs rest 10 legs .rabbit has 4 legs or 2 legs?10 legs will be shared among rabbit. 6 years ago   6 Likes Like Qing. Can you give a better explanation? I can't understand it tho. 4 years ago   4 Likes Like Human Q: what about if there was 56 heads and 170 legs? A:  There are: a = 27 chicken b = 29 rabbit see calculation: https://www.hackmath.net/en/calculator/solving-system-of-linear-equations?input=a%2Bb+%3D+56%0D%0A2*a%2B4*b%3D170&submit=Calculate 4 years ago   2 Likes Like Tips for related online calculators Do you have a linear equation or system of equations and are looking for a solution ? Or do you have a quadratic equation ? See also our trigonometric triangle calculator . You need to know the following knowledge to solve this word math problem: algebra equation system of equations arithmetic division planimetrics triangle basic operations and concepts reason numbers integers Grade of the word problem practice for 13 year olds practice for 14 year olds We encourage you to watch this tutorial video on this math problem: video1 Related math problems and questions: Heads and legs There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there? Chicken and rabbits (classic) Grandmother bred chickens and rabbits. It found that the yard has 25 heads and 70 legs. How many chickens and rabbits breed in the yard? Rabbits and chicken There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm? Chickens and hares There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard? Grandmother Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does Grandma keep? Goat chicken puzzle There were goats and chickens in the yard. The total number of heads was 15, and the total number of legs was 40. Calculate the number of hens. Every animal has all its legs. Hen hare puzzle There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares?
Markdown
# Chickens and rabbits In a farmyard there were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard? ## Final Answer: ![](https://www.hackmath.net/img/56/pipky.jpg) Help us improve! If you spot a mistake, please let [let us know](https://www.hackmath.net/en/math-problem/56#exampleCorrection). Thank you\! Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it. **Showing 4 comments:** **Math student** We know that chicken has 2 legs and rabbit has 4. Assume that all heads are of chicken = 44\*2 = 88. Now the difference between the total no. Of legs = 124-88 = 36. 36/2 =18 legs of Rabbits and 44-18 = 26 for chicken [8 years ago](https://www.hackmath.net/en/math-problem/56#c700 "Permalink") 51 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Math student** 40 chickens means 80 legs rest 10 legs .rabbit has 4 legs or 2 legs?10 legs will be shared among rabbit. [6 years ago](https://www.hackmath.net/en/math-problem/56#c4109 "Permalink") 6 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Qing.** Can you give a better explanation? I can't understand it tho. [4 years ago](https://www.hackmath.net/en/math-problem/56#c27511 "Permalink") 4 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Human** Q: what about if there was 56 heads and 170 legs? A: There are: a = 27 chicken b = 29 rabbit see calculation: [https://www.hackmath.net/en/calculator/solving-system-of-linear-equations?input=a%2Bb+%3D+56%0D%0A2\*a%2B4\*b%3D170\&submit=Calculate](https://www.hackmath.net/en/calculator/solving-system-of-linear-equations?input=a%2Bb+%3D+56%0D%0A2*a%2B4*b%3D170&submit=Calculate) [4 years ago](https://www.hackmath.net/en/math-problem/56#c28943 "Permalink") 2 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") Tips for related online calculators Do you have a linear equation or system of equations and are [looking for a solution](https://www.hackmath.net/en/calculator/system-of-linear-equations)? Or do you have [a quadratic equation](https://www.hackmath.net/en/calculator/quadratic-equation)? See also our trigonometric [triangle calculator](https://www.hackmath.net/en/calculator/triangle). ### You need to know the following knowledge to solve this word math problem: **algebra** - [equation](https://www.hackmath.net/en/word-math-problems/equation) - [system of equations](https://www.hackmath.net/en/word-math-problems/system-of-equations) **arithmetic** - [division](https://www.hackmath.net/en/word-math-problems/division) **planimetrics** - [triangle](https://www.hackmath.net/en/word-math-problems/triangle) **basic operations and concepts** - [reason](https://www.hackmath.net/en/word-math-problems/reason) **numbers** - [integers](https://www.hackmath.net/en/word-math-problems/integers) **Grade of the word problem** - [practice for 13 year olds](https://www.hackmath.net/en/word-math-problems/practice-for-13-year-olds) - [practice for 14 year olds](https://www.hackmath.net/en/word-math-problems/practice-for-14-year-olds) We encourage you to watch this tutorial video on this math problem: [video1](https://www.youtube.com/watch?v=BgrWHOocYZA) ## Related math problems and questions: - [Heads and legs ![](https://www.hackmath.net/thumb/71/t_43571.jpg) There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there?](https://www.hackmath.net/en/math-problem/43571) - [Chicken and rabbits (classic) ![](https://www.hackmath.net/thumb/8/t_1408.jpg) Grandmother bred chickens and rabbits. It found that the yard has 25 heads and 70 legs. How many chickens and rabbits breed in the yard?](https://www.hackmath.net/en/math-problem/1408) - [Rabbits and chicken ![](https://www.hackmath.net/thumb/61/t_58361.jpg) There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm?](https://www.hackmath.net/en/math-problem/58361) - [Chickens and hares ![](https://www.hackmath.net/thumb/93/t_8093.jpg) There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard?](https://www.hackmath.net/en/math-problem/7635) - [Grandmother ![](https://www.hackmath.net/thumb/41/t_5841.jpg) Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does Grandma keep?](https://www.hackmath.net/en/math-problem/5841) - [Goat chicken puzzle ![](https://www.hackmath.net/thumb/51/t_27351.jpg) There were goats and chickens in the yard. The total number of heads was 15, and the total number of legs was 40. Calculate the number of hens. Every animal has all its legs.](https://www.hackmath.net/en/math-problem/27351) - [Hen hare puzzle ![](https://www.hackmath.net/thumb/91/t_22691.jpg) There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares?](https://www.hackmath.net/en/math-problem/22691) [![Math word problems](https://www.hackmath.net/static/Einstein6.webp)](https://www.hackmath.net/en/word-math-problems) - [Math problems 19804](https://www.hackmath.net/en/word-math-problems) - [algebra 6095](https://www.hackmath.net/en/word-math-problems/algebra "Math examples of algebra") - [arithmetic 4571](https://www.hackmath.net/en/word-math-problems/arithmetic "Math examples of arithmetic") - [basic operations and concepts 6465](https://www.hackmath.net/en/word-math-problems/basic-operations-and-concepts "Math examples of basic operations and concepts") - [combinatorics 1090](https://www.hackmath.net/en/word-math-problems/combinatorics "Math examples of combinatorics") - [geometry 3251](https://www.hackmath.net/en/word-math-problems/geometry "Math examples of geometry") - [goniometry and trigonometry 632](https://www.hackmath.net/en/word-math-problems/goniometry-and-trigonometry "Math examples of goniometry and trigonometry") - [numbers 6145](https://www.hackmath.net/en/word-math-problems/numbers "Math examples of numbers") - [physical quantity 6933](https://www.hackmath.net/en/word-math-problems/physical-quantity "Math examples of physical quantity") - [planimetrics 3698](https://www.hackmath.net/en/word-math-problems/planimetrics "Math examples of planimetrics") - [solid geometry 2418](https://www.hackmath.net/en/word-math-problems/solid-geometry "Math examples of solid geometry") - [statistics 892](https://www.hackmath.net/en/word-math-problems/statistics "Math examples of statistics") - [themes, topics 3370](https://www.hackmath.net/en/word-math-problems/themes-topics "Math examples of themes, topics") - *** - [New math problems](https://www.hackmath.net/en/word-math-problems?list=1) - [Popular math problems](https://www.hackmath.net/en/word-math-problems?list=2) - [Harder math problems](https://www.hackmath.net/en/word-math-problems?list=3) - [The easiest word problems](https://www.hackmath.net/en/word-math-problems?list=4) - *** - [Worksheets](https://www.hackmath.net/en/worksheets "Elementary arithmetic") - [Calculators 94](https://www.hackmath.net/en/calculator) © 2026 HackMath.net \| [contact](https://www.hackmath.net/en/contact) \| [en](https://www.hackmath.net/en/math-problem/56 "English") \| [cz](https://www.hackmath.net/cz/priklad-uloha/56 "Česky") \| [sk](https://www.hackmath.net/sk/priklad-uloha/56 "Slovensky")
Readable Markdown
In a farmyard there were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard? ## Final Answer: ![](https://www.hackmath.net/img/56/pipky.jpg) Help us improve! If you spot a mistake, please let [let us know](https://www.hackmath.net/en/math-problem/56#exampleCorrection). Thank you\! **Showing 4 comments:** **Math student** We know that chicken has 2 legs and rabbit has 4. Assume that all heads are of chicken = 44\*2 = 88. Now the difference between the total no. Of legs = 124-88 = 36. 36/2 =18 legs of Rabbits and 44-18 = 26 for chicken [8 years ago](https://www.hackmath.net/en/math-problem/56#c700 "Permalink") 51 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Math student** 40 chickens means 80 legs rest 10 legs .rabbit has 4 legs or 2 legs?10 legs will be shared among rabbit. [6 years ago](https://www.hackmath.net/en/math-problem/56#c4109 "Permalink") 6 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Qing.** Can you give a better explanation? I can't understand it tho. [4 years ago](https://www.hackmath.net/en/math-problem/56#c27511 "Permalink") 4 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") **Human** Q: what about if there was 56 heads and 170 legs? A: There are: a = 27 chicken b = 29 rabbit see calculation: [https://www.hackmath.net/en/calculator/solving-system-of-linear-equations?input=a%2Bb+%3D+56%0D%0A2\*a%2B4\*b%3D170\&submit=Calculate](https://www.hackmath.net/en/calculator/solving-system-of-linear-equations?input=a%2Bb+%3D+56%0D%0A2*a%2B4*b%3D170&submit=Calculate) [4 years ago](https://www.hackmath.net/en/math-problem/56#c28943 "Permalink") 2 Likes [Like](https://www.hackmath.net/en/math-problem/56 "'Like' This Comment") Tips for related online calculators Do you have a linear equation or system of equations and are [looking for a solution](https://www.hackmath.net/en/calculator/system-of-linear-equations)? Or do you have [a quadratic equation](https://www.hackmath.net/en/calculator/quadratic-equation)? See also our trigonometric [triangle calculator](https://www.hackmath.net/en/calculator/triangle). You need to know the following knowledge to solve this word math problem: **algebra** - [equation](https://www.hackmath.net/en/word-math-problems/equation) - [system of equations](https://www.hackmath.net/en/word-math-problems/system-of-equations) **arithmetic** - [division](https://www.hackmath.net/en/word-math-problems/division) **planimetrics** - [triangle](https://www.hackmath.net/en/word-math-problems/triangle) **basic operations and concepts** - [reason](https://www.hackmath.net/en/word-math-problems/reason) **numbers** - [integers](https://www.hackmath.net/en/word-math-problems/integers) **Grade of the word problem** - [practice for 13 year olds](https://www.hackmath.net/en/word-math-problems/practice-for-13-year-olds) - [practice for 14 year olds](https://www.hackmath.net/en/word-math-problems/practice-for-14-year-olds) We encourage you to watch this tutorial video on this math problem: [video1](https://www.youtube.com/watch?v=BgrWHOocYZA) ## Related math problems and questions: - [Heads and legs ![](https://www.hackmath.net/thumb/71/t_43571.jpg) There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there?](https://www.hackmath.net/en/math-problem/43571) - [Chicken and rabbits (classic) ![](https://www.hackmath.net/thumb/8/t_1408.jpg) Grandmother bred chickens and rabbits. It found that the yard has 25 heads and 70 legs. How many chickens and rabbits breed in the yard?](https://www.hackmath.net/en/math-problem/1408) - [Rabbits and chicken ![](https://www.hackmath.net/thumb/61/t_58361.jpg) There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm?](https://www.hackmath.net/en/math-problem/58361) - [Chickens and hares ![](https://www.hackmath.net/thumb/93/t_8093.jpg) There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard?](https://www.hackmath.net/en/math-problem/7635) - [Grandmother ![](https://www.hackmath.net/thumb/41/t_5841.jpg) Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does Grandma keep?](https://www.hackmath.net/en/math-problem/5841) - [Goat chicken puzzle ![](https://www.hackmath.net/thumb/51/t_27351.jpg) There were goats and chickens in the yard. The total number of heads was 15, and the total number of legs was 40. Calculate the number of hens. Every animal has all its legs.](https://www.hackmath.net/en/math-problem/27351) - [Hen hare puzzle ![](https://www.hackmath.net/thumb/91/t_22691.jpg) There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares?](https://www.hackmath.net/en/math-problem/22691)
Shard119 (laksa)
Root Hash11498229421325140919
Unparsed URLnet,hackmath!www,/en/math-problem/56 s443