一条应用题怎么算?
来源:百度知道 编辑:UC知道 时间:2024/05/23 16:59:50
1、三种布平均每尺0.45元,甲种比丙种每尺贵8分,乙种每尺比丙种贵4分,求各种布每尺多少元?
解:设甲种布为X,乙种布为Y,丙中布为Z。
X+Y+Z
―――― = 0.45 ⑴,
3
X – Z = 0.08 ⑵,
Y – Z = 0.04 ⑶
由⑴式,⑵式,⑶式得⑷式,⑸式,⑹式
X + Y + Z = 0.45×3 → X + Y + Z = 1.35 ⑷
X = 0.08 + Z ⑸ ,
Y = 0.04 + Z ⑹
把⑸式,⑹式带入⑷式
(0.08 + Z) + (0.04 + Z) + Z = 1.35
0.08 + Z + 0.04 + Z + Z = 1.35
3Z = 1.35 – 0.12
3Z = 1.23
Z = 0.41
∴ X = 0.49
Y = 0.45
答: 甲种布为0.49元,乙种布为0.45元,丙中布为0.41元。
甲0.49元 乙0.45元 丙0.41元
甲+乙+丙=0.45*3
甲-丙=0.08
乙-丙=0.04
解方程得:甲=0.49
乙=0.45
丙=0.41
0.45+0.08=0.53
x+y+z=0.45*3````````````````````````1
x-z=0.08````````````````````````````2
y-z=0.04````````````````````````````3
解得x=0.41
y=0.45
z=0.49