posted by .

While visiting a farm, you notice that there are only chickens and rabbits in the farmyard. You can't help but wonder how many of each animal there is on the yard, but when you ask Farmer Fred he refuses to give you a direct answer. (Some say he must have been a math teacher before he became a farmer.) Fred says that there are 18 heads and 58 feet in the yard (not including themselves) Assuming there are no mutant animals how many chickens and rabbits are in the yard?

Okay, 18 heads = 18 animals my question is how do I go about finding this?

  • Pre-Algebra -

    Should I just do it randomly? Like first try 16 chickens and go on from there? Surely there is a simpler way to do this since a bigger problem wouldn't work this way.

  • Pre-Algebra -

    let the number of chickens be x
    and the number of rabbits be y

    so x+y = 18 and 2x + 4y = 58, divide this last equation by 2 to get x+2y=29

    x+ y=18 ..... subtract them
    y=11, subbing back x = 7

    7 chicken and 11 rabbits

    check: 18 animals, so 18 heads
    7chicken have 14 feet, 11 rabbits have 44 feet, so 14+44 = 58 feet

  • Pre-Algebra -

    Thank you!!

  • Pre-Algebra -

    There are 7 chickens- 14 Chicken feet.
    There are 11 rabbits- 44 chicken feet.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math question (counting)

    When Josh was visiting his family’s farm, he saw that the farm only raised chickens and cows. Josh counted 38 heads and 100 feet in the barnyard. How many chickens and how many cows were in the barnyard?
  2. Math

    There are a total of 107 chickens and rabbits on a farm. The total number of legs of rabbits is 56 more than the total number of legs of chickens. How many chickens are there on the farm?
  3. math

    A farmer has both chickens and sheep on his farm. He has a total of 25 animals and there are 72 legs on his farm. How many of each animal is there?
  4. math

    farmer fred had chickens and cows on his farm. he knows that together there are 108 legs and 30 heads. how many of each type of animal does he have?
  5. Algebra

    An algebra teacher drove past a farmyard that was full of chickens and pigs. The teacher happened to notice that there were a total of 70 heads and 200 legs. How many chickens and how many pigs were there?
  6. Chelsea

    on a farm there are rabbits and chickens. Altogether, there are 20 heads and 50 feet. How many rabbits and chickens are there?
  7. math

    farmer jane has only pigs and chickens o her farm. she can't remembr how many of each she has but she does know she counted 110 legs and 35 heads. assuming that each animal is normalhow many of each animal does she have
  8. maths

    A farmer has a farmyard containing both cows and chickens numbering 54legs. How many chickens and cows does he have?
  9. Math

    There are some rabbits and chickens in a farm. Together they have 35 heads and 94 feet. How many rabbits?
  10. Math

    Farmer Jane has only pigs and chickens on her farm. She can't remember how many of each she has but she does know she counted 110 legs and 35 heads. Assuming that each animal is normal, how may of each animal does she have?

More Similar Questions