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    Work: Find the solution of equation （500-x）*4/60 = （400-x）*6/60 .
    Question type: Equation
    Solution:Original question:

(

500

−

x

)

×

4

÷

60

=

(

400

−

x

)

×

6

÷

60

Left side of the equation =

(

500

−

x

)

×

1 15

    The equation is transformed into :

(

500

−

x

)

×

1 15

=

(

400

−

x

)

×

6

÷

60

    Remove the bracket on the left of the equation:

Left side of the equation =

500

×

1 15

−

x

×

1 15

=

100 3

−

x

×

1 15

    The equation is transformed into :

100 3

−

1 15

x

=

(

400

−

x

)

×

6

÷

60

Right side of the equation =

(

400

−

x

)

×

1 10

    The equation is transformed into :

100 3

−

1 15

x

=

(

400

−

x

)

×

1 10

    Remove the bracket on the right of the equation:

Right side of the equation =

400

×

1 10

−

x

×

1 10

=

40

−

x

×

1 10

    The equation is transformed into :

100 3

−

1 15

x

=

40

−

1 10

x

    Transposition :

-

1 15

x

+

1 10

x

=

40

−

100 3

    Combine the items on the left of the equation:

1 30

x

=

40

−

100 3

    Combine the items on the right of the equation:

1 30

x

=

20 3

    The coefficient of the unknown number is reduced to 1 :

x

=

20 3

÷

1 30

=

20 3

×

30

=

20

×

10

    We obtained :

x

=

200

    This is the solution of the equation.

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