Mathematics
         
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Fractions calculation:
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (5000×12×0.9-70%×130X×6.4%)÷(30%×130X+5%×130X) = 3.8% .
    Question type: Equation
    Solution:Original question:
     (5000 × 12 ×
9
10
70
100
× 130 X ×
32
500
) ÷ (
30
100
× 130 X +
5
100
× 130 X ) =
19
500
     Multiply both sides of the equation by:(
30
100
× 130 X +
5
100
× 130 X )
     (5000 × 12 ×
9
10
70
100
× 130 X ×
32
500
) =
19
500
(
30
100
× 130 X +
5
100
× 130 X )
    Remove a bracket on the left of the equation::
     5000 × 12 ×
9
10
70
100
× 130 X ×
32
500
=
19
500
(
30
100
× 130 X +
5
100
× 130 X )
    Remove a bracket on the right of the equation::
     5000 × 12 ×
9
10
70
100
× 130 X ×
32
500
=
19
500
×
30
100
× 130 X +
19
500
×
5
100
× 130 X
    The equation is reduced to :
     54000
728
125
X =
741
500
X +
247
1000
X
    The equation is reduced to :
     54000
728
125
X =
1729
1000
X

    Transposition :
      -
728
125
X
1729
1000
X = - 54000

    Combine the items on the left of the equation:
      -
7553
1000
X = - 54000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     54000 =
7553
1000
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
7553
1000
X = 54000

    The coefficient of the unknown number is reduced to 1 :
      X = 54000 ÷
7553
1000
        = 54000 ×
1000
7553

    We obtained :
      X =
54000000
7553
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 7149.477029



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