鸡兔同笼共306只脚问鸡兔各几只
- 时间:2020-05-31 15:41:53
- 分类:数学世界
- 阅读:187 次
群里“唯一的雨”小朋友提问:鸡兔同笼问题,知道脚的总数和兔比鸡多几只,怎样计算鸡和兔的只数?ziyo老师:找一道这种类型的题目发在群里,我来解答。题目如下:鸡兔同笼,共306只脚,而且兔比鸡多39只,问鸡,兔各几只?
数学题解答:设鸡有x只,则兔有(x+39)只。根据题意,有:鸡脚总数+兔脚总数=306,列出方程:
2x+(x+39)×4=306→红加号前的是鸡脚总数,红加号后的是兔脚总数。
2x+4x+156=306
6x+156=306
6x=150
x=25
兔有:25+39=64(只)。
算术方法(素心兰老师提供):先去掉多出来的39只兔的脚数,这时鸡、兔只数同样多。一只鸡、一只兔为一组,鸡兔正好配对。每组中鸡兔共有6只脚,脚数除以6算出组数,也就是此时鸡的只数或兔的只数。
(306-39×4)÷(4+2)=25(只)→鸡
25+39=64(只)→原来兔的只数
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