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Math Help - puzzle question of grade 6

  1. #1
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    Unhappy puzzle question of grade 6

    I am of level 6. My question is :
    80 sparrows are of 1 SR, 1 parrot is of 5 SR and 1 pegion is of 1SR.A person have to buy 100 birds of 100 SR. How many sparrows,pigeons and parrots would he buy?(He have to buy every type of bird).
    Last edited by smhaq; April 29th 2008 at 03:42 AM.
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    Quote Originally Posted by smhaq View Post
    I am of level 6. My question is :
    80 sparrows are of 1 SR, 1 parrot is of 5 SR and 1 pegion is of 1SR.A person have to buy 100 birds of 100 SR. How many sparrows,pigeons and parrots would he buy?
    Can't he just buy 100 pigeons?
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  3. #3
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    Quote Originally Posted by smhaq View Post
    I am of level 6. My question is :
    80 sparrows are of 1 SR, 1 parrot is of 5 SR and 1 pegion is of 1SR.A person have to buy 100 birds of 100 SR. How many sparrows,pigeons and parrots would he buy?
    Air has answered it by observation.
    Which we can validate by a technical discussion

    Technical Method
    I dont like pigeons, lets keep crows instead of them

    Naming
    sparrows = S
    parrots = P
    crows = C

    In terms of sparrows, lets count the worth of remaining things,

    1 P = 400 S
    1 C = 80 S
    100 SR = 8000 S

    So we get two equations
    a(400) + b(80) + c = 8000
    a+b+c = 100.
    So,
    a(399) + b(79) = 7900

    So solve this diophantine equation to get (a,b) = (0,100).
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