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Math Help - i am hopeless please help and explain

  1. #1
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    Sep 2007
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    i am hopeless please help and explain

    if mike,joe and susan have equal shares in a firm and they are now going to retire and pass on their shares to thyeir kids mike has 4 kids and divides 80% equally among them and keeps 20% himself. joe has 7 kids and divides 3/4 of his shares equally between them while susan passes on 1/2 of her shaqres to her eldest child and devides thr remainer between her other 3 kids can u calculate
    a) how much mike owns
    b) how much mikes kids obtain
    C) how much each of joes children obtain
    d) how much sean obtains
    E) how much each of susans other kids get
    and could you explain in simple terms how you got your answers it would be really appreciated as i have been struggling with this one all day thanks for the help
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Umm, no given amount involved?

    Let S = total amount of the shares that Mike, Joe and Susan have equally divided among them
    So the three have S/3 each.

    Mike:
    80% of S/3 to his 4 kids equally, and 20% of S/3 to him.

    Joe:
    3/4 of S/3 to his 7 kids equally

    Susan:
    1/2 of S/3 to her eldest, then 1/2 of S/3 to her 3 other kids equally.

    -----------------------
    a) how much mike owns
    Initially? S/3.

    After he gave some to his 4 kids?
    20%(S/3)
    = 0.20(S/3)
    Since 0.20 = 1/5,
    = (1/5)(S/3)
    = S/15
    = (1/5)S

    b) how much mikes kids obtain
    In total? 80%(S/3) = 0.80(S/3) = (4/5)(S/3) = (4/15)S

    Each one? (4/15)S / 4 = (1/15)S each.

    C) how much each of joes children obtain
    (3/4)(S/3) / 7
    = (3S/12) / 7
    = (S/4) / 7
    = (S/4) * 1/7
    = S*1 / 4*7
    = S/28
    = (1/28)S each.

    d) how much sean obtains
    Sean who?
    Susan? (1/3)S.
    Susan's eldest? (1/2)(S/3) = S/6 = (1/6)S.

    E) how much each of susans other kids get
    (1/2)(S/3) / 3
    = (S/6) /3
    = (S/6) *(1/3)
    = S/18
    = (1/18)S each.
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