一道七年级数学应用题(物资调配问题)求解,必须用一元一次方程解,有详细的过程,越快越好! 初一数学:实际问题与一元一次方程(人员调配问题及数字问题)

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\u8bbe\u5341\u4f4d\u4e0a\u662fX\uff0c\u4e2a\u4f4d\u4e0a\u662f2X 10X+2X+36=20X+X
\u5f97X=4 \u539f\u6570\u4e3a48
\u8bbe\u5341\u4f4d\u4e0a\u662fX \u5219\u767e\u4f4d\u662fX+7 \u4e2a\u4f4d\u4e0a\u662f3X X+X+7+3X=17 \u5f97X=2 \u4e09\u4f4d\u6570\u4e3a926
\u8bbe\u4e2d\u95f4\u6570\u4e3aX \u5219X-1+X+X+1=18 X=6 \u79ef\u4e3a5*6*7=210

解:设乙书架原来有书X本,则乙书架取走100本后有书(X-100)本,甲数架这时的书就是乙书架的5+1=6倍,是6(X-100)本,原来甲书架有书6(X-100)-100=(6X-700)本
如果从甲书架取50本放到乙书架,这时甲书架有书6X-700-50=(6X-750)本,乙书架有书(X+50)本,两书架的书相等,有方程:
6X-750=X+50
6X-X=50+750
5X=800
X=160
6X-70=6×160-700=960-700=260
答:原来甲书架有书260本,乙书架有书160本

设甲书架有x本书
【如果从甲架上拿100本书放到乙架上,两架上的书就相等】
那么乙书架就有 x-200 本书(x-100=乙+100)
【从乙架上拿100本放到甲架上,那么甲架上的书就是乙架上所剩余的书的5倍】
5*[(x-200)-100] = x+100
甲:x=400
乙:x-200=200

我们根据从甲架上取50本书放到乙架上,两架的书就一样多
可以知道甲比乙多50×2=100本
那么设乙有a本,则甲有a+100本
6×(a-100)=a+100+100
6a-600=a+200
5a=800
a=160本
乙有160本,甲有160+100=260本

解:设原来甲书架上有书x本,那么原来乙书架上有(x-2*50)本,则:
(x-2*50-100)(5+1)=x+100
6x-1200=x+100
5x=1300
x=260
即原来甲书架上有书260本,原来乙书架上有(x-2*50)=260-2*50=160本.

设甲有X本,从甲架上取50本书放到乙架上,两架的书就一样多,则乙有X-100本

X+100=6(X-100-100)
X+100=6X-1200
5X=1300
X=260

260-100=160

原来甲有260本,乙有160本

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