- 豆豆staR
-
解法一:
观察得知:如果再加上一个人,则3、5、7、9人一桌正好
因为[3,5,7,9]=315
所以总人数应该是315m-1
且11|315m-1(11能够整除315m-1)
315*8-1=2519
且11|2519
所以最少有2519人
2519/11=229(张)
所以屋子里有229张桌子
答:这间屋子有2519个人,有229张桌子。
解法二:
解:设这间屋子有x张桌子,有y个人。
3x+2=y
5x+4=y
7x+6=y
9x+8=y
11x=y
联立着五个方程
解得:x=229
y=2519
答:这间屋子有2519个人,有229张桌子。
- CarieVinne
-
2519 人 839桌
11人一桌用掉229个桌子,但未充分使用。
- FinCloud
-
答案:
解:设这间屋子有x张桌子,有y个人。
3x+2=y
5x+4=y
7x+6=y
9x+8=y
11x=y
联立着五个方程
解得:x=229 y=2519
答:这间屋子有2519个人,有229张桌子。
希望我的回答对你有帮助
- 苏州马小云
-
另一结果:
假设多一人
则
3、5、7、9人正好合桌
总数=945n
945%11=10(余数)
10n%11=1(每945人多10人,n个945人多一人)
推出
n=10、1000、……、10*10^2n
所以 y=9450-1、945000-1、……、9450*10^2n-1
通式 Y=9450*10^2n-1
- 出投笔记
-
2519,5984,9449,12914,16379,19844,23309,26774,30239,33704,37169,40634,44099,47564,51029,54494,57959,61424,64889,68354,71819,75284,78749,82214,85679,89144,92609,96074,99539,103004,106469,109934,113399,116864,120329,123794,127259,130724,134189,137654,141119,144584,148049,151514,154979,158444,161909,165374,168839,172304,175769,179234,182699,186164,189629,193094,196559,200024,203489,206954,210419,213884,217349,220814,224279,227744,231209,234674,238139,241604,245069,248534,251999,255464,258929,262394,265859,269324,272789,276254,279719,283184,286649,290114,293579,297044,300509,303974,307439,310904,314369,317834,321299,324764,328229,331694,335159,338624,342089,345554,349019,352484,355949,359414,362879,366344,369809,373274,376739,380204,383669,387134,390599,394064,397529,400994,404459,407924,411389,414854,418319,421784,425249,428714,432179,435644,439109,442574,446039,449504,452969,456434,459899,463364,466829,470294,473759,477224,480689,484154,487619,491084,494549,498014,501479,504944,508409,511874,515339,518804,522269,525734,529199,532664,536129,539594,543059,546524,549989,553454,556919,560384,563849,567314,570779,574244,577709,581174,584639,588104,591569,595034,598499,601964,605429,608894,612359,615824,619289,622754,626219,629684,633149,636614,640079,643544,647009,650474,653939,657404,660869,664334,667799,671264,674729,678194,681659,685124,688589,692054,695519,698984,702449,705914,709379,712844,716309,719774,723239,726704,730169,733634,737099,740564,744029,747494,750959,754424,757889,761354,764819,768284,771749,775214,778679,782144,785609,789074,792539,796004,799469,802934,806399,809864,813329,816794,820259,823724,827189,830654,834119,837584,841049,844514,847979,851444,854909,858374,861839,865304,868769,872234,875699,879164,882629,886094,889559,893024,896489,899954,903419,906884,910349,913814,917279,920744,924209,927674,931139,934604,938069,941534,944999,948464,951929,955394,958859,962324,965789,969254,972719,976184,979649,983114,986579,990044,993509,996974,
- 陶小凡
-
3,5,7,9,11最小公倍数减1
3464个人
- 苏萦
-
县政府
- 西柚不是西游
-
是一个人,把(11)读作(是一),大家算的太累了。