一袋餅可平圴分給3個or4個小朋友,在分成3個小朋友時,每分成３份時,每份比分成4份多1塊,這袋餅原有多少塊?(列方程)
急的,,,thx~!~!
急~!~!小六數學一問~!~!
2008-02-15 11:45 pm
回答 (5)
2008-02-15 11:56 pm
✔ 最佳答案
設原有x 塊x/3=x/4+1
[x/3=x/4+1]x12
4x =3x+ 12
x=12
所以原有12塊
2008-02-16 12:00 am
設分成3個小朋友時的餅是X,分成4個小朋友時餅是Y,
1--------- 3X=4Y
2--------- X-Y=1
2--------- X=Y-1 代入方程式1
所以, 3( Y-1)=4Y
3Y-3=4Y
Y=3
代Y=3入方程式2, X=4,所以這袋餅是有12塊
1--------- 3X=4Y
2--------- X-Y=1
2--------- X=Y-1 代入方程式1
所以, 3( Y-1)=4Y
3Y-3=4Y
Y=3
代Y=3入方程式2, X=4,所以這袋餅是有12塊
參考: 自己智識
2008-02-15 11:59 pm
x=z×4
x=y×3
L.C.M. =4×3=12
x=12
y=4
z=3
x=y×3
L.C.M. =4×3=12
x=12
y=4
z=3
2008-02-15 11:58 pm
假設這袋餅原有X塊
(X / 3) - (X / 4) = 1
全式 * 12
(12 * X / 3) - (12 * X / 4) = 1 * 12
4X - 3X =12
X=12
或
(X / 3) - (X / 4) = 1
X / 3 = 1 + (X / 4)
X / 3 = (4 + X) / 4
4 * X / 3 = 4 + X
4 * X = 3 * (4 + X)
4X = 12 + 3X
4X - 3X = 12
X =12
(X / 3) - (X / 4) = 1
全式 * 12
(12 * X / 3) - (12 * X / 4) = 1 * 12
4X - 3X =12
X=12
或
(X / 3) - (X / 4) = 1
X / 3 = 1 + (X / 4)
X / 3 = (4 + X) / 4
4 * X / 3 = 4 + X
4 * X = 3 * (4 + X)
4X = 12 + 3X
4X - 3X = 12
X =12
參考: 自己
2008-02-15 11:53 pm
設這代餅共有 x個
x /3 =x/4 +1
4x= 3x+12 (全式 x 12, 以化分母=> x/3 *12 = 4X; X/4 *12 = 3X)
4x-3x= 12
x= 12
x /3 =x/4 +1
4x= 3x+12 (全式 x 12, 以化分母=> x/3 *12 = 4X; X/4 *12 = 3X)
4x-3x= 12
x= 12
參考: 我自己
收錄日期: 2021-04-14 18:44:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080215000051KK02041