[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7 C# l" q9 L7 [* I4 B3 M
規則
只何用100人搬100塊磚,不能多也不能小...tvb now,tvbnow,bttvb2 g+ Y( T! A( A. `# l/ r
100人當中有男人、女人同細路仔3 G w2 Z3 I! _# X2 @
1個男人搬6塊磚tvb now,tvbnow,bttvb# Z6 ^, F. i0 Q5 w. T& Q+ O: g
1女人搬3塊磚
2個細路仔搬1塊磚
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問搬100塊磚9 |9 F+ z7 k- c8 m! U
要幾多男人、女人同細路仔2 @& @- W# z3 H4 |/ R; Y! \

答案30號公佈TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。, F. o6 B6 p% ?% t" \6 X! o
公仔箱論壇% |9 b) q" c2 G+ s
[ 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.* W# k# D% \0 [9 B# r! Z6 X- s& `
Let x = Male, y = Female, z = Child公仔箱論壇0 c* h! X  j- T7 V' {
6x + 3y + z/2 = 100 Formula 1
x + y + z = 100 Formula 2TVBNOW 含有熱門話題，最新最快電視，軟體，遊戲，電影，動漫及日常生活及興趣交流等資訊。2 g* I8 C8 P9 p" K  f: w3 |
Simplify Formula 2 into z, we get z = 100 - x - y Formula 3tvb now,tvbnow,bttvb  \% z! h" s$ G, g! J, V
Sub Formula 3 into Formula 1, we get 6x + 3y + ( 100 - x - y )/2 = 100 Formula 4
Formula 4 can change into 11x + 5y = 100 Formula 5tvb now,tvbnow,bttvb3 {2 E/ j/ @) J" o9 C& I
In Formula 5, x can only be 0 - 9, otherwise y will be negative number which we dont want.: x* b7 n' r, W
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.tvb now,tvbnow,bttvb1 k5 s0 v: r8 K" m$ g! W
Eventually, the answer is 20 female and 80 children and no male.

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alan1234