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一个汽车队把一批水泥从工厂运到工地,第一天运了所有水泥的14又7吨,第二天运余下的25又2吨,这样还剩下全部水泥的518没有运完,问原来有多少吨水泥?

题目详情
1
4
又7吨,第二天运余下的
2
5
又2吨,这样还剩下全部水泥的
5
18
没有运完,问原来有多少吨水泥?
1
4
1144
2
5
又2吨,这样还剩下全部水泥的
5
18
没有运完,问原来有多少吨水泥?
2
5
2255
5
18
没有运完,问原来有多少吨水泥?
5
18
551818
▼优质解答
答案和解析
设原来水泥的总重为x吨,则第一天运了
1
4
x+7吨,第二天运了第二天运了(x-
1
4
x-7)×
2
5
+2吨,则:
1
4
x+7)+[(x-
1
4
x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
1
4
111444x+7吨,第二天运了第二天运了(x-
1
4
x-7)×
2
5
+2吨,则:
1
4
x+7)+[(x-
1
4
x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
1
4
111444x-7)×
2
5
+2吨,则:
1
4
x+7)+[(x-
1
4
x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
2
5
222555+2吨,则:
1
4
x+7)+[(x-
1
4
x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
1
4
111444x+7)+[(x-
1
4
x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
1
4
111444x-7)×
2
5
+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
2
5
222555+2]=(1-
5
18
)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
5
18
555181818)x,
            
1
4
x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
1
4
111444x+7+
3
10
x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
3
10
333101010x-
14
5
+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
14
5
141414555+2=
13
18
x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
13
18
131313181818x,
                    
11
20
x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
11
20
111111202020x+
31
5
=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
31
5
313131555=
13
18
x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
13
18
131313181818x,
                       
31
180
x=
31
5

                            x=36;
答:原来有水泥36吨.
31
180
313131180180180x=
31
5

                            x=36;
答:原来有水泥36吨.
31
5
313131555
                            x=36;
答:原来有水泥36吨.