數學及英文的問題

2006-10-15 7:48 am
數學:

不好意,我有兩題數學的代數問題不會做,想請教大家,希望大家能幫幫忙.

Q1: 兩個數之差為10,若較小數的4倍與較大數的三分之一之和是25,求該兩個數.

Q2: 老師把X張貼紙平均分給8位小朋友,每位小朋友得5張貼紙,餘下3張,求貼紙的總數.


大家能幫幫忙吧!

回答 (3)

2006-10-15 11:58 am
Q1) Let the smaller no. be x, the larger no. be y
x + y = 10
x = 10 + y ------------(1)

4y + ( x/3 ) = 25
12( 4y + x/3 ) = 25*12
48y + 4x = 300
12y + x = 75 ---------------(2)

Sub (1) into (2),
12y + ( 10 + y ) = 75
13y = 65
y = 5

Sub y = 5 into (1),
x = 10 + 5
x = 15


Q2) No. of stickers
= 8 * 5 + 3
= 43
2006-10-15 7:56 am
Q1 . 設該該兩個數為X及Y.
X - Y = 10----------------(A)
4Y + X (1/3) = 25------------(B)
FROM (A) , X-Y=10
X = 10+Y-------(C)
INSERT (C) INTO (B),
4Y + X (1/3) = 25
4Y + (10+Y) (1/3) = 25
3 *[4Y + (10+Y) (1/3)] = 25*3
12Y + 10 + Y = 75
13Y = 75 - 10
Y = 65 / 13
Y = 5

2006-10-15 00:00:30 補充:
Q2. 貼紙的總數. = 8 * 5 + 3= 40 + 3= 43
2006-10-15 7:54 am
(1) 解:設一數為x,一數為x+10
4x+1/3(x+10)=25
解得 x=5 x+10=15

(2)x=8*5+3
參考: 自己


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