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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 3.3/(75+x)x = 0.825 .
    Question type: Equation
    Solution:Original question:
     
33
10
÷ (75 + x ) × x =
33
40
     Multiply both sides of the equation by:(75 + x )
     
33
10
x =
33
40
(75 + x )
    Remove a bracket on the right of the equation::
     
33
10
x =
33
40
× 75 +
33
40
x
    The equation is reduced to :
     
33
10
x =
495
8
+
33
40
x

    Transposition :
     
33
10
x
33
40
x =
495
8

    Combine the items on the left of the equation:
     
99
40
x =
495
8

    The coefficient of the unknown number is reduced to 1 :
      x =
495
8
÷
99
40
        =
495
8
×
40
99
        = 5 × 5

    We obtained :
      x = 25
    This is the solution of the equation.



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