A group of stundents are going on a picnic.The total expenditure will be shared equally by all students.If each stundent pays $65,they will be $300 short.If each student pays $75, they will have an excess of $100.Find the number of students joining the picnic.
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中一數學～～２０點～～快Ｄ黎啦
2006-11-29 5:42 am
回答 (3)
2006-11-29 6:01 am
let x be the number of students;
y be the expbnditure;
65x=y-300..........1
75x=y+100..........2
from 1
65x=y-300
65x+300=y
from2
75x=y+100
75x-100=y
from1=2
65x+300=75x-100
10x=400
x=40
y be the expbnditure;
65x=y-300..........1
75x=y+100..........2
from 1
65x=y-300
65x+300=y
from2
75x=y+100
75x-100=y
from1=2
65x+300=75x-100
10x=400
x=40
2006-11-29 5:56 am
設學生人數為x,總車資為y
a)$65*x=y-300 -------- a)y=65x+300
b)$75*x=y+100 -------- b)y=75x-100
所以
65x+300=75x-100
300+100=75x-65x
10x=400
x=400/10
x=40
將x代入a)式
y=$65*40+300
y=$2900
所以學生人數是40人,車資是$2900
a)$65*x=y-300 -------- a)y=65x+300
b)$75*x=y+100 -------- b)y=75x-100
所以
65x+300=75x-100
300+100=75x-65x
10x=400
x=400/10
x=40
將x代入a)式
y=$65*40+300
y=$2900
所以學生人數是40人,車資是$2900
參考: 我會考數學有c
2006-11-29 5:48 am
Let the number of students be N
Let the total expenditure be M
$65 x N = M - $300 ......................(1)
$75 x N = M + $100 .....................(2)
(2) - (1)
$75N - $65N = $100 - (-$300)
$10N = $400
N = 40
Therefore, the number of students joining the picnic are 40.
Let the total expenditure be M
$65 x N = M - $300 ......................(1)
$75 x N = M + $100 .....................(2)
(2) - (1)
$75N - $65N = $100 - (-$300)
$10N = $400
N = 40
Therefore, the number of students joining the picnic are 40.
參考: me
收錄日期: 2021-04-12 22:59:51
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