[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...
100人當中有男人、女人同細路仔
1個男人搬6塊磚( H; D' s0 Y7 {0 Q/ f5 r4 W2 }+ m! _
1女人搬3塊磚# s9 K, u. A. K4 v
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tvb now,tvbnow,bttvb. l' |# y# Z: Q- l9 ]& _

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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。, Q# Z( k/ L! e
[ 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.7 i/ P8 [9 k7 z& G7 A
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 1+ e" X5 `. k7 f, Z1 ]: r( o
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 4% B0 r$ h& ?3 @/ n
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.3 s' J5 e \# N; ~
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