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    Work: Find the solution of equation y/16+y/24+(1.25/24)(y+4) = 1 .
    Question type: Equation
    Solution:Original question:

y

÷

16

+

y

÷

24

+

(

5 4

÷

24

)

(

y

+

4

)

=

1

Left side of the equation =

5 48

y

+

(

5 4

÷

24

)

(

y

+

4

)

    The equation is transformed into :

5 48

y

+

(

5 4

÷

24

)

(

y

+

4

)

=

1

    Remove the bracket on the left of the equation:

Left side of the equation =

5 48

y

+

5 4

÷

24

×

(

y

+

4

)

=

5 48

y

+

5 96

(

y

+

4

)

=

5 48

y

+

5 96

y

+

5 96

×

4

=

5 48

y

+

5 96

y

+

5 24

=

5 32

y

+

5 24

    The equation is transformed into :

5 32

y

+

5 24

=

1

    Transposition :

5 32

y

=

1

−

5 24

    Combine the items on the right of the equation:

5 32

y

=

19 24

    The coefficient of the unknown number is reduced to 1 :

y

=

19 24

÷

5 32

=

19 24

×

32 5

=

19 3

×

4 5

    We obtained :

y

=

76 15

    This is the solution of the equation.

    Convert the result to decimal form :

y

=

5.066667

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