a farmer looks ou tin the goat pen and sees that some chickens have escaped into it….?

rather than counting how many animals there are, or say chasing the animals back where they belong, he desides to write a story problem. there are 8 heads and 24 legs. how many goats and how many chicken are there? help me write a word problem please and thank you=]

4 Responses to “a farmer looks ou tin the goat pen and sees that some chickens have escaped into it….?”

  1. hemu on August 9th, 2010 6:06 am

    I think u want to know how to formulate the equations.
    Here is how :

    Let there be x goats ( 4 legs each ) and y chickens( 2 legs each).

    Then, x + y = 8………….( 1 )

    and 4x + 2y = 24………( 2 )

    From(1), y = 8-x

    From(2),

    4x + 2( 8 -x ) = 24 => 2x = 8 => x = 4 => y = 4

    Hence, there are 4 goats and 4 chickens…………………Ans.

  2. Kody on August 9th, 2010 6:06 am

    4 goats = 16 legs 4 chickens = 8 legs =24 legs???

    I don’t understand what your asking lol

  3. Ithewiz on August 9th, 2010 6:06 am

    using simultaneous equations, taking "c" as number of chickens and "g" as number of goats, we can form the equations:

    4g+2c=24——-legs
    g+c=8————heads

    so c= 8-g

    then, 4g+2(8-g)=24——>4g+16-2g=24
    ———–>4g-2g=24-16
    ———–>2g=8
    ———–>g=4

    4g+2c=24——->4(4)+2c=24
    ——>16+2c=24
    ———->2c=24-16=8
    ———> c=4

    4 chickens and four goats have 8 heads in total and 24 legs in total

  4. Ray on August 9th, 2010 6:06 am

    The problem as you state it is fine. Are you looking for a similar problem, or looking to rephrase it? The answer to your problem is 4 goats and 4 chickens:

    C (#chickens) + G (#goats) = 8 heads

    Each chicken has 2 legs and each goat 4 legs, so
    2C + 4G = 24 legs, or
    C + 2G = 12

    (C + 2G) – (C + G) = G, so the number of goats is 12 – 8, or 4.

    8 heads, so 8-4 = 4 chickens.