我想問一條Maths題,題目是:「中六級同學往大嶼山宿營。若每間房住7名學生,則有3人沒有房間;若每間房住8名學生,便有
2006-12-30 3:00 am
我想問一條Maths題,題目是:「中六級同學往大嶼山宿營。若每間房住7名學生,則有3人沒有房間;若每間房住8名學生,便有1間房空置。求學生總數及房間的數目。」（急)(請列明條式和過程)
回答 (2)
2006-12-30 3:11 am
✔ 最佳答案
設有x間房, y名學生, 就有y = 7x + 3
y = 8(x-1)
所以, 7x + 3 = 8(x-1)
7x + 3 = 8x - 8
3 + 8 = 8x - 7x
x = 11
Therefore, 有11間房
y = 8(x-1) = 8(11-1) = 8*10 = 80
Therefore, 有87名學生
2006-12-29 19:12:06 補充：
Sorry! 最後果句係Therefore, 有80名學生
參考: me
2006-12-30 3:21 am
Let no. of students be X and
no.of rooms be Y,
7Y+3=X -----(1)
8(Y-1)=X
8Y-8=X -----(2)
(2)-(1), Y-11=0
Y=11
Sub Y=11 into (1), 7(11)+3=X
X=80
---> there are 80 students and 11 rooms
no.of rooms be Y,
7Y+3=X -----(1)
8(Y-1)=X
8Y-8=X -----(2)
(2)-(1), Y-11=0
Y=11
Sub Y=11 into (1), 7(11)+3=X
X=80
---> there are 80 students and 11 rooms
收錄日期: 2021-04-12 21:33:27
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061229000051KK02558