[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www.tvboxnow.com/ o/ h0 B) \$ r2 u# ~# C3 n
規則
只何用100人搬100塊磚,不能多也不能小...tvb now,tvbnow,bttvb% A7 h7 x4 u# r2 T% z$ _2 Y
100人當中有男人、女人同細路仔
1個男人搬6塊磚公仔箱論壇5 ^3 B; O) K$ [
1女人搬3塊磚
2個細路仔搬1塊磚www.tvboxnow.com4 |( ?, f9 m( s' o1 t+ X8 W
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問搬100塊磚
要幾多男人、女人同細路仔8 I' x2 y- s9 x/ H6 G: k2 F$ m! ^
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答案30號公佈

[ 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.公仔箱論壇/ g3 S- N- Z$ O2 q2 h( ^
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 1
x + y + z = 100 Formula 2公仔箱論壇7 e: g' G" Z, D
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 45 p$ E+ c9 o/ E; B3 i6 [2 b
Formula 4 can change into 11x + 5y = 100 Formula 5# a% a* a6 r5 j' M& P) _5 |
In Formula 5, x can only be 0 - 9, otherwise y will be negative number which we dont want.
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.
Eventually, the answer is 20 female and 80 children and no male.

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alan1234