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PJohnson89 Group Title

A farmer looks into the barnyard at his pigs and chickens and he counts 169 heads and 398 feet how many pigs and chickens are their? I need an equation PLEASE

  • 2 years ago
  • 2 years ago

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  1. ash2326 Group Title
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    @PJohnson89 how many legs a chicken has? and a pig?

    • 2 years ago
  2. ashna Group Title
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    X = Pigs Y = Chickens Total heads (assume 1 per pig and 1 per chicken) = 169 Total legs (assume 4 per pig and 2 per chicken) = 398 X + Y = 169 heads 4X + 2Y = 398 legs You now have two equations with two unknowns, ready to solve. Y = 169 - X Substitute for Y 4X + 2(169 - X) = 398 4X + 338 - 2X = 398 2X = 60 X = 30 Pigs now if you still didn't understand .. raise questions ;)

    • 2 years ago
  3. ashna Group Title
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    @PJohnson89 should i be more clear ?

    • 2 years ago
  4. PJohnson89 Group Title
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    yes

    • 2 years ago
  5. ashna Group Title
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    okay .. let x = pigs and y = chickens got it ?

    • 2 years ago
  6. PJohnson89 Group Title
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    y

    • 2 years ago
  7. ashna Group Title
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    in maths we use variables such as x and y , so that doin eqns will be easy or say we can even take for chickens = C and pigs = P if that is what you prefer :)

    • 2 years ago
  8. PJohnson89 Group Title
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    ok

    • 2 years ago
  9. ashna Group Title
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    okay .. now chickens = C and pigs = P

    • 2 years ago
  10. ashna Group Title
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    given that p + c = 169 (head) and 4p+2c = 398 (legs) because head is one for both pig and chicken and leg for a chicken is two and for a pig 4 .. got it ?

    • 2 years ago
  11. PJohnson89 Group Title
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    yes

    • 2 years ago
  12. ashna Group Title
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    okay .. good now , Multiply 1st equation by 2 2 P + 2 C = 338 4 P + 2 C = 398 ( CHANGING SIGNS IN THE 2ND EQN) -2P - 0 = -60 2P = 60 P = 30 SO MUCH UNDERSTOOD ?

    • 2 years ago
  13. ashna Group Title
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    @PJohnson89 dealing with a problem ?

    • 2 years ago
  14. PJohnson89 Group Title
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    why does the sign change in the second half

    • 2 years ago
  15. ashna Group Title
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    it is like that .. that is a part of math .. like let me ask you what is 2 * 3 ?

    • 2 years ago
  16. PJohnson89 Group Title
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    6

    • 2 years ago
  17. ashna Group Title
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    yes .. just like that in quadratic eqns sign changes in the second eqn which is universally acceptd .. got it ?

    • 2 years ago
  18. PJohnson89 Group Title
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    ok

    • 2 years ago
  19. ashna Group Title
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    can you proceed now ? we have found that pig = 30 now you try doing for chickens ;)

    • 2 years ago
  20. PJohnson89 Group Title
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    ok thank you

    • 2 years ago
  21. ashna Group Title
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    do for chicken .. or you want me to do that too ?

    • 2 years ago
  22. PJohnson89 Group Title
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    I will try it tomorrow I have to go to work in the morning

    • 2 years ago
  23. ashna Group Title
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    hm..

    • 2 years ago
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