鸡兔同笼,共有51个头,172只脚,鸡和兔各有多少只? 用方程,写步骤,设兔。

2025-03-21 21:27:12
推荐回答(5个)
回答1:

设兔为X只,那么鸡有(51—X)只
4X+2(51—X)=172
4X+102—2X=172
2X=70
X=35
51—35=16(只)
有16只鸡,35只兔子

回答2:

设有鸡X只,兔有Y只,常识鸡有两条腿,兔子有四条腿,都是一个头,那么方程式可列:
X+Y=51,2X+4Y=172.
解方程组可得:X=16,Y=35
答:有16只鸡,35只兔子
设兔子的话,设兔子有X只,那么由题意可得鸡有51-X只,那么有常识可知,2(51-X)+4X=172
解方程可得:X=35,那么51-X=16
答:有16只鸡,35只兔子

回答3:

解设兔有x只,则鸡有(51-x)只,兔脚有4x只,鸡脚有(172-4x)只
4(51-x)=172-4x
x=35
∴鸡有:51-35=16只

回答4:

设兔子X只,鸡Y只,
则(1)X+Y=51;(2)4X+2y=172公式(1)乘以4然后减公式2,要等号两边相减,则解得Y=16,X=35

回答5:

设兔子有X只。
4X+2(51-X)=172
4X+102-2X=172
2X=70
X=35
51-35=16只(鸡).

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