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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 350(1/9.5+2x/0.1+x/0.06) = 25/(1/9.5) .
    Question type: Equation
    Solution:Original question:
     350(1 ÷
19
2
+ 2 x ÷
1
10
+ x ÷
3
50
) = 25 ÷ (1 ÷
19
2
)
     Multiply both sides of the equation by:(1 ÷
19
2
)
     350(1 ÷
19
2
+ 2 x ÷
1
10
+ x ÷
3
50
)(1 ÷
19
2
) = 25
    Remove a bracket on the left of the equation::
     350 × 1 ÷
19
2
× (1 ÷
19
2
) + 350 × 2 x ÷
1
10
× (1 ÷
19
2
) + 350 x ÷
3
50
= 25
    The equation is reduced to :
     
700
19
(1 ÷
19
2
) + 7000 x (1 ÷
19
2
) +
17500
3
x (1 ÷
19
2
) = 25
    Remove a bracket on the left of the equation:
     
700
19
× 1 ÷
19
2
+ 7000 x (1 ÷
19
2
) +
17500
3
x (1 ÷
19
2
) = 25
    The equation is reduced to :
     
1400
361
+ 7000 x (1 ÷
19
2
) +
17500
3
x (1 ÷
19
2
) = 25
    Remove a bracket on the left of the equation:
     
1400
361
+ 7000 x × 1 ÷
19
2
+
17500
3
x (1 ÷
19
2
) = 25
    The equation is reduced to :
     
1400
361
+
14000
19
x +
17500
3
x (1 ÷
19
2
) = 25
    Remove a bracket on the left of the equation:
     
1400
361
+
14000
19
x +
17500
3
x × 1 ÷
19
2
= 25
    The equation is reduced to :
     
1400
361
+
14000
19
x +
35000
57
x = 25
    The equation is reduced to :
     
1400
361
+
77000
57
x = 25

    Transposition :
     
77000
57
x = 25
1400
361

    Combine the items on the right of the equation:
     
77000
57
x =
7625
361

    The coefficient of the unknown number is reduced to 1 :
      x =
7625
361
÷
77000
57
        =
7625
361
×
57
77000
        =
61
19
×
3
616

    We obtained :
      x =
183
11704
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.015636



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