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趣味数学——鸡兔同笼

作者:E-say2018-08-07

The Rabbit and Chicken

鸡兔同笼


"In a cage, chickens and rabbits add up to 35 heads and 94 feet. Please count the number of chickens and rabbits.”

“在一个笼子里,鸡和兔子总共有35个头和94只脚。请算一下鸡和兔子各有多少只?”



This is a kind of topic we are very familiar with "chicken and rabbit ". Of course, there are many algorithms for this kind of problem. What we use the most is the equation and hypothesis. Today, E-say's teachers teach you a very simple solution. Make sure you can solve the problem in a minute.

这是一种我们非常熟悉的“鸡兔同笼”的题目。当然,这种题目有许多的算法。我们用的最多的就是列方程和假设法。今天,E-say的老师来教你一种特别简单方便的算法。保证你在一分钟内就能解出题目。



Let's assume that both the chicken and the rabbit can understand our instructions, so let's have both the chicken and the rabbit raise one foot first. Now there are 35 heads and 59 feet in the cage. Now let's have the chicken and the rabbit lift another foot. Now there are 35 heads and 24 feet in the cage. Because the chicken has only two feet and the rabbit has four feet, the remaining 24 feet all are rabbit's. Now the rabbits in the cage stand on two feet, so we divide 24 by 2 and we get 12 rabbits, and the remaining 23 is the number of chickens.

我们先假设鸡和兔子都可以听得懂我们的指令。那么我们让鸡和兔子都先抬起一只脚。现在笼子里面还有35个头和59只脚。现在我们再让鸡和兔子再抬起一只脚。现在笼子里面还有35个头和24只脚。因为鸡只有两只脚,兔子有四只脚,所以剩下的24只脚都是兔子的啦。而现在笼中的兔子都是两只脚站立,所以我们用24除以2就得出了兔子有12只。那么剩下的23就是鸡的数量啦。



Isn't it simple and fun!

是不是很简单,有趣!!


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