Overview: 3 questions will be solved this time.Among them
           ☆1 inequalities
           ☆2 equations

[ 1/3Inequality]
    Assignment:Find the solution set of inequality 16x+11(10-x) >= 145 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
        16 * x + 11 * ( 10 - x ) >= 145         (1)

---

    From inequality(1)：
         x ≥ 7

---

    The final solution set is :
         x ≥ 7
[ 2/3 Equation]
    Work: Find the solution of equation (90-a)*16*7+80*11*3 = (90-a)*16*8+80*11*2 .
    Question type: Equation
    Solution:Original question:

(

90

−

a

)

×

16

×

7

+

80

×

11

×

3

=

(

90

−

a

)

×

16

×

8

+

80

×

11

×

2

Left side of the equation =

(

90

−

a

)

×

112

+

2640

    The equation is transformed into :

(

90

−

a

)

×

112

+

2640

=

(

90

−

a

)

×

16

×

8

+

80

×

11

×

2

    Remove the bracket on the left of the equation:

Left side of the equation =

90

×

112

−

a

×

112

+

2640

=

10080

−

a

×

112

+

2640

=

12720

−

112

a

    The equation is transformed into :

12720

−

112

a

=

(

90

−

a

)

×

16

×

8

+

80

×

11

×

2

Right side of the equation =

(

90

−

a

)

×

128

+

1760

    The equation is transformed into :

12720

−

112

a

=

(

90

−

a

)

×

128

+

1760

    Remove the bracket on the right of the equation:

Right side of the equation =

90

×

128

−

a

×

128

+

1760

=

11520

−

a

×

128

+

1760

=

13280

−

128

a

    The equation is transformed into :

12720

−

112

a

=

13280

−

128

a

    Transposition :

-

112

a

+

128

a

=

13280

−

12720

    Combine the items on the left of the equation:

16

a

=

13280

−

12720

    Combine the items on the right of the equation:

16

a

=

560

    The coefficient of the unknown number is reduced to 1 :

a

=

560

÷

16

=

560

×

1 16

=

35

×

1

    We obtained :

a

=

35

    This is the solution of the equation.

[ 3/3 Equation]
    Work: Find the solution of equation (90-a)*16*8+80*11*2 = (90-a)*16*9+80*11 .
    Question type: Equation
    Solution:Original question:

(

90

−

a

)

×

16

×

8

+

80

×

11

×

2

=

(

90

−

a

)

×

16

×

9

+

80

×

11

Left side of the equation =

(

90

−

a

)

×

128

+

1760

    The equation is transformed into :

(

90

−

a

)

×

128

+

1760

=

(

90

−

a

)

×

16

×

9

+

80

×

11

    Remove the bracket on the left of the equation:

Left side of the equation =

90

×

128

−

a

×

128

+

1760

=

11520

−

a

×

128

+

1760

=

13280

−

128

a

    The equation is transformed into :

13280

−

128

a

=

(

90

−

a

)

×

16

×

9

+

80

×

11

Right side of the equation =

(

90

−

a

)

×

144

+

880

    The equation is transformed into :

13280

−

128

a

=

(

90

−

a

)

×

144

+

880

    Remove the bracket on the right of the equation:

Right side of the equation =

90

×

144

−

a

×

144

+

880

=

12960

−

a

×

144

+

880

=

13840

−

144

a

    The equation is transformed into :

13280

−

128

a

=

13840

−

144

a

    Transposition :

-

128

a

+

144

a

=

13840

−

13280

    Combine the items on the left of the equation:

16

a

=

13840

−

13280

    Combine the items on the right of the equation:

16

a

=

560

    The coefficient of the unknown number is reduced to 1 :

a

=

560

÷

16

=

560

×

1 16

=

35

×

1

    We obtained :

a

=

35

    This is the solution of the equation.

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