[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...tvb now,tvbnow,bttvb5 k3 ]# D P! W4 R7 H, |/ u! }
100人當中有男人、女人同細路仔8 n& R3 A. g/ n* M; b0 g/ @
1個男人搬6塊磚 M1 E( s* c3 `# ^, u0 y
1女人搬3塊磚tvb now,tvbnow,bttvb& l9 A* T0 \* S7 T* B. ^
2個細路仔搬1塊磚
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問搬100塊磚
要幾多男人、女人同細路仔) ^4 }, m& |* n' K5 R2 w8 C- Z

答案30號公佈公仔箱論壇. k6 R% \: h$ R5 n

[ 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 D3 z$ }6 D; r! N3 Q) ]# A: T
6x + 3y + z/2 = 100 Formula 1
x + y + z = 100 Formula 2
Simplify Formula 2 into z, we get z = 100 - x - y Formula 3
Sub Formula 3 into Formula 1, we get 6x + 3y + ( 100 - x - y )/2 = 100 Formula 4tvb now,tvbnow,bttvb2 D! e* O5 ^! U: u
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.) F. U- E- L: I& N8 @' c1 @
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 = 80.6 |6 q9 }7 N6 {* h m ^
Eventually, the answer is 20 female and 80 children and no male.

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alan1234