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:146 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
推荐阅读:How to Construct Minimum Spanning Tree using Kruskal or Breadth Two Pointer and Sliding Window Algorithm to Find K-Length Substr How to Get the Maximum Level Sum of a Binary Tree using Breadth Compute the Minimum Costs to Connect the Sticks using Priority Q Single-Row Keyboard Algorithms to Estimate the Finger Moving Tim Bruteforce Algorithm to Find the Next Closet Time Reusing the Cu The Overlapping Rectangles using CSS and Javascript How to Count the Distinct Pairs using HashMap? Blogger Jailed For Pokemon Go Gets Even More Trouble Dead Simple Ways to Keep Your Best Blogging Ideas From Slipping
- 评论列表
-
- 添加评论