箱子里有圆球和正方体各30个

  • 时间:2020-06-13 17:16:40
  • 分类:数学世界
  • 阅读:140 次

箱子里有圆球和正方体各30个,每次取出5个圆球和4个正方体,取几次后圆球个数正好是正方体个数的一半?这道题目可以尝试用方程法、列表法来解决,下面分别予以解答:

一、方程法。设取x次后,圆球个数是正方体个数的一半。根据题意,列出方程:

30-5x=(30-4x)×1/2

30-5x=15-2x

两边同时加上2x,变成:

30-5x+2x=15-2x+2x

30-3x=15

3x=30-15

3x=15

x   =5

二、列表法。列出如下表格:

  圆球30个 正方体30个
取1次后,剩下 25 26
取2次后,剩下 20 22
取3次后,剩下 15 18
取4次后,剩下 10 14
取5次后,剩下 5 10

到第5次,可以看出,剩下的圆球是正方体的一半。

三、其他方法:此题若用算术方法来解答,有一些难度,也不易理解,感兴趣的同学和老师可以做一下尝试。

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