[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...; p$ |! W/ R' y; v8 M1 Y* u. V6 Q9 a
100人當中有男人、女人同細路仔5.39.217.76; d( K D$ K3 [1 f7 z2 V% q
1個男人搬6塊磚
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
要幾多男人、女人同細路仔6 ]" o$ d& h6 ~) R
tvb now,tvbnow,bttvb: c. {3 q" v: `& t3 M
答案30號公佈公仔箱論壇6 I8 |# P0 v2 R( K: y6 s8 O& z& z l$ G

[ 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.tvb now,tvbnow,bttvb9 r/ o! C8 e" F4 j. ^
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 1
x + y + z = 100 Formula 2tvb now,tvbnow,bttvb- j* ?. J8 U" {+ t/ W9 `8 N
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 4
Formula 4 can change into 11x + 5y = 100 Formula 5公仔箱論壇7 l% Y9 M9 E* I5 z l: @& x3 n
In Formula 5, x can only be 0 - 9, otherwise y will be negative number which we dont want.5.39.217.76/ r% x- U% A0 J
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.公仔箱論壇& V: V* y! t8 q- x) w
Eventually, the answer is 20 female and 80 children and no male.

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alan1234