有兩條英文數學題唔識,係方程式 (要有步驟) !Help!急需!10點 THX

2006-10-22 2:51 am
有兩條英文數學題唔識,係方程式 (要有步驟) !Help!急需!10點 THX
方程式(要Let x be...)(要有步驟) THX~~~~ 急需

第一條:A 2-digit number is divisible by both 2 and 5.half this number is less than 6 times the tens digit of the number by 4. Find this 2-digit number.

第二條:There are some chickens and rabbits in a cage.1/3(三份之一) of the rabbits were born to have 3 legs. If the total number of heads is 35 and the total number of legs is 90,find the number of (a) chickens (b) b rabbits with 4 legs
更新1:

aspire2star, 第一條數寫到:half this number is less than 6 times the tens digit of the number by 4。中文係解:果個數的一半係少過六乘以十位數的4。{六乘以十位數-果個數的一半=4} 但係80不能! 求求你再想一想~ THX~ 想對我會給你最佳回答者!!!!

回答 (2)

2006-10-22 3:59 am
✔ 最佳答案
1) Let the ten digit of the number be x, the unit digit be y.
(10x + y) / 2 = 6x - 4
10x + y = 12x - 8
therefore y = 2x - 8
The posisible answers of (x, y) are (4, 0), (5, 2), (6, 4), (7, 6) and (8, 8)
As the number is divisible by both 2 and 5, so the possible answer is only 40.

2) Let the number of chickens be x, so
2x + 3(35 - x)(1/3) + 4(35 - x)(2/3) = 90
6x + 105 - 3x + 280 - 8x = 270
5x = 115
therefore x = 23
(35 - x)(1/3) = 4
(35 - x)(2/3) = 8
So, there are 23 chickens, 8 rabbits with 4 legs.
2006-10-22 3:08 am
(1). Let the tens digit be a, units digit be b
(10a + b) / 2 = 6a - 4
10a + b = 12a - 8
b = 2a - 8
Possible numbers: 80 & 91
Only 80 can be divisible by 2 & 5
Therefore, the number is 80

(2). (a). Let the number of chicken be a, number of rabbit be (35 - a)
2a + 1/3 (35 - a) (3) + 2/3 (35 - a) (4) = 90
6a + 105 - 3a +280 - 8a = 270
5a = 160
a = 32
There are 32 chickens.

(b). There are 35 - 32 = 3 rabbits
There are 3 (2/3) = 2 rabbits with 4 legs

2006-10-22 21:36:11 補充:
Sorry 我計錯左^_^"應該係 40, 52, 64, 76, 88...the number should be 40...

2006-10-22 21:41:03 補充:
Sorry 我又計錯…=_="5a = 115a = 23There are 23 chickens.There are 35 - 23 = 12 rabbitsThere are 12 (2/3) = 8 rabbits with 4 legs 由於我成日計錯,所以你俾「最佳回答」下面既回答者,我覺得更適合你俾我既話,我仲會覺得唔好意思…^_^"


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