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    Work: Find the solution of equation 0.04(100+x) = 0.06(50+x) .
    Question type: Equation
    Solution:Original question:

1 25

(

100

+

x

)

=

3 50

(

50

+

x

)

    Remove the bracket on the left of the equation:

Left side of the equation =

1 25

×

100

+

1 25

x

=

4

+

1 25

x

    The equation is transformed into :

4

+

1 25

x

=

3 50

(

50

+

x

)

    Remove the bracket on the right of the equation:

Right side of the equation =

3 50

×

50

+

3 50

x

=

3

+

3 50

x

    The equation is transformed into :

4

+

1 25

x

=

3

+

3 50

x

    Transposition :

1 25

x

−

3 50

x

=

3

−

4

    Combine the items on the left of the equation:

-

1 50

x

=

3

−

4

    Combine the items on the right of the equation:

-

1 50

x

=

-

1

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

1

=

1 50

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 :

1 50

x

=

1

    The coefficient of the unknown number is reduced to 1 :

x

=

1

÷

1 50

=

1

×

50

    We obtained :

x

=

50

    This is the solution of the equation.

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