F.3 MATHS QUS.

2007-10-10 5:50 am
Amy has 10% more money than Ben,how much does Ben have less than Amy in percentage..??
條式應該用咩做分母..WHY,,?

回答 (2)

2007-10-10 6:05 am
✔ 最佳答案
Let $z be the amount of money Ben has
then Amount of money Amy has = 1.1z

( z x (1 + 10%) = 1.1z )

Percentage Difference:

  Amount of money Ben has
= _______________________ x 100%
 
  Amount of money Amy has


  z
= _____ x 100%

  1.1z

  1
= _____ x 100%

   1.1

= 90.90909090%

Therefore Ben have 1 - 90.90909090% = 9.0909090% less than Amy

2007-10-10 18:43:12 補充:
因為唔用一減返既話, 算式的意思便會是:Ben 的 錢 是 Amy 的 百分之幾而不是題目要求的 Ben 少 Amy 百分之幾 的 錢(字數受到限制...)

2007-10-10 18:43:31 補充:
比方說:Amy 有 100元, Ben 是 Amy 的 90.91%, 即 90.91元回去看看題目, Amy 多 Ben 10%驗數- 既然 Ben 有 90.91元, Amy 便會有 1.1 x 90.91 = 100.00元題目是問 : Ben 少 Amy 百分之幾 的 錢, 因此算式便會是如此:(Amy的錢 - Ben 的錢) / (Amy的錢) * 100%= (100 - 90.91) / (100) * 100%= 9.09%

2007-10-10 18:43:47 補充:
我的算式是先找Ben是Amy的多少%, 再找相差多少,好處就是可以找到Ben和Amy金錢上的關係

2007-10-10 18:45:38 補充:
其實是可以這樣直接計的:= (Amount of money Amy has - Amount of money Ben has) / (Amount of money Amy has) * 100%    1.1z - z= ___________ x 100%   1.1z  0.1= ______ x 100%  1.1= 9.091% (correct to 4 significant figures)
2007-10-10 5:58 am
let Ben's money be x
x做分母,因為amy係用ben做標準


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