问框里有多少鸡蛋?

2024-11-25 08:23:21
推荐回答(4个)
回答1:

设鸡陆槐蛋有X个(我们的讨论范围不大于2520,但X是可以比2520大的,因为2520是1~9的最小公倍数),那么满足X是63的倍数(因为同时是7和9的倍数),从最小的63开始,63如果除以8余7,那么两个桐颤63除以8余6(可以理解成每个63/8都是余7,那么其中一个余述7匀一个1给另外一个7,7+1=8,匀过之后刚好就凑够了除以8没有余数,另外一个就余7-1=6),3个63余5,……,7个63余1,早轮友刚好得到7*63=441,满足最后面三个条件(如果继续验证即得441就是一个答案).进一步判断,因为同时满足最后3个条件的数字必须是441+几个504,其中504=7*8*9,而答案个位数字肯定是1或者6(除以5余1嘛),所以“几个”可以是0个,5个,10个,……,但是小于2520的话,441是唯一解,可以验证441满足题设所有条件。故答案就是"X=441+2520N,N=0,1,2…”.考虑实际情况,一篮鸡蛋应该不超过200斤,那么441就是唯一答案了。

回答2:

正确答案肯定是441个,太简单,无需列方程,我发誓是知梁心算很快出来得数,要是扒猛圆正确春塌请采纳呀,也不白浪费脑细胞

回答3:

outh African coastal city

回答4:

根据题意可知,筐中鸡蛋的数量比兆察拍2、3、4、5、6的公倍数多1,而正好是7的倍数
2、3、4、5、6的最没贺小公倍数是60
60+1=61
61÷7=8……5
60÷7=8……4
4×4+5=21
因此族羡筐里有61+60×4=301个鸡蛋

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