[IQ題] [數學題]100人搬100塊磚

，描述：問要幾多男人、女人同細路仔

100人搬100塊磚
規則
只何用100人搬100塊磚,不能多也不能小...
100人當中有男人、女人同細路仔公仔箱論壇3 p' h) |+ {* {" {7 g
1個男人搬6塊磚. i0 D, P$ R. t3 V. C
1女人搬3塊磚
2個細路仔搬1塊磚* F$ e9 ^1 `) l- O( P* l7 G0 b
**************************************************************
問搬100塊磚tvb now,tvbnow,bttvb' o$ n5 e, P1 k, Y, y& v! a8 i- U0 x
要幾多男人、女人同細路仔tvb now,tvbnow,bttvb7 N# K* \1 Y4 v: Y

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[ 本帖最後由 1/5 於 2007-10-13 05:10 PM 編輯 ]

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twinsdragon

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發表於 2007-10-13 05:40 PM | 只看該作者

That is a very simple mathematics question.
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 16 I. J6 [8 }2 H/ I* {
x + y + z = 100 Formula 2
Simplify Formula 2 into z, we get z = 100 - x - y Formula 32 ~) Y6 P$ [) s% V" P, n ?
Sub Formula 3 into Formula 1, we get 6x + 3y + ( 100 - x - y )/2 = 100 Formula 4tvb now,tvbnow,bttvb" e: B& z! t) t- O
Formula 4 can change into 11x + 5y = 100 Formula 5
In Formula 5, x can only be 0 - 9, otherwise y will be negative number which we dont want.公仔箱論壇5 }. u. k- J) `- j7 I7 J8 G
And between 0 and 9, only 0 can give me a single number of y. So, x has to be 0 and y have to be 20. Then put x and y back to formula 1, we get z = 80.: E+ Z3 M9 r6 Q+ s
Eventually, the answer is 20 female and 80 children and no male.

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alan1234