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標題: [IQ題] [數學題]100人搬100塊磚 [打印本頁]

作者: 1/5 時間: 2007-10-13 05:08 PM 標題: [數學題]100人搬100塊磚

100人搬100塊磚公仔箱論壇& g; ^3 U  @8 y9 _0 Y8 g
規則
只何用100人搬100塊磚,不能多也不能小...5.39.217.77+ k8 c* L" k# ]# f# Q' L
100人當中有男人、女人同細路仔5.39.217.77/ ]$ s5 ]5 v, z7 w) U
1個男人搬6塊磚
1女人搬3塊磚公仔箱論壇$ K! Q% z" Y% m" d% J( \& h8 Q. ~  ?9 N! T
2個細路仔搬1塊磚  Y0 n- }& F5 ^) j/ c
**************************************************************- v/ A  k) l! K& l! E- \6 H$ K
問搬100塊磚
要幾多男人、女人同細路仔! ]9 D+ H, M6 K" E# A

答案30號公佈7 f% _7 e9 M2 Y" n

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

作者: twinsdragon 時間: 2007-10-13 05:40 PM

That is a very simple mathematics question.% E: o( d! w9 x' Z8 D _' }
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 1公仔箱論壇" l, j) ]. {3 k+ h* \ z
x + y + z = 100 Formula 2
Simplify Formula 2 into z, we get z = 100 - x - y Formula 35.39.217.77" E6 a$ Y5 q: v. o& `
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
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.

作者: alan1234 時間: 2007-10-14 12:19 AM 標題: two answers

man,female,children公仔箱論壇( g8 ?3 S9 i: K( Q2 T( I3 T
0,20,80 or 5,9,86

作者: RyanC 時間: 2007-10-14 10:46 PM

原帖由 twinsdragon 於 2007-10-13 05:40 PM 發表 5.39.217.77' v4 K9 Q9 ?+ j6 k- @5 ]; o
11x + 5y = 100 Formula 5

5.39.217.77$ k( C& u/ X/ @# T7 V1 @1 ^8 ?
11X must be 0 or multiple of 5公仔箱論壇6 j2 Z2 i6 s% G1 m, z4 S0 D
that meanz x must be 0 or 5

作者: manstein 時間: 2007-10-15 08:28 PM

86 children公仔箱論壇5 l7 @. e# K' n% t3 ^. T
5 male
9 female

作者: dafunhei123 時間: 2007-10-15 10:39 PM

数学问题，线性代数，我算算再说

作者: dafunhei123 時間: 2007-10-15 10:47 PM

4楼5楼的算对了。看来这里的人也很无聊，线性代数，大学的教材

作者: ghjleo 時間: 2007-10-17 04:23 PM

5,9,84

作者: leou2830 時間: 2007-10-20 10:21 AM

想知道耶

作者: 1/5 時間: 2007-10-30 01:02 AM

答案: 男人女人細路仔
5 9 86

作者: fristz 時間: 2007-12-6 10:09 PM

thx4sharing

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