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    Work: Find the solution of equation (1.6x-x)×200+(1.3x-x)×100+(0.7x-x)×100 = 15000 .
    Question type: Equation
    Solution:Original question:

(

8 5

x

−

x

)

×

200

+

(

13 10

x

−

x

)

×

100

+

(

7 10

x

−

x

)

×

100

=

15000

    Remove the bracket on the left of the equation:

Left side of the equation =

8 5

x

×

200

−

x

×

200

+

(

13 10

x

−

x

)

×

100

+

(

7 10

x

−

x

)

×

100

=

320

x

−

x

×

200

+

(

13 10

x

−

x

)

×

100

+

(

7 10

x

−

x

)

×

100

=

120

x

+

(

13 10

x

−

x

)

×

100

+

(

7 10

x

−

x

)

×

100

=

120

x

+

13 10

x

×

100

−

x

×

100

+

(

7 10

x

−

x

)

×

100

=

120

x

+

130

x

−

x

×

100

+

(

7 10

x

−

x

)

×

100

=

150

x

+

(

7 10

x

−

x

)

×

100

=

150

x

+

7 10

x

×

100

−

x

×

100

=

150

x

+

70

x

−

x

×

100

=

120

x

    The equation is transformed into :

120

x

=

15000

    The coefficient of the unknown number is reduced to 1 :

x

=

15000

÷

120

=

15000

×

1 120

=

125

×

1

    We obtained :

x

=

125

    This is the solution of the equation.

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