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Work: Find the solution of equation 20% = 40%-(1+g)/g×7% .
Question type: Equation
Solution:Original question:| | 20 100 | = | 40 100 | − | ( | 1 | + | g | ) | ÷ | g | × | 7 100 |
| Multiply both sides of the equation by: | g |
| | 20 100 | g | = | 40 100 | g | − | ( | 1 | + | g | ) | × | 7 100 |
Remove a bracket on the right of the equation::
| | 20 100 | g | = | 40 100 | g | − | 1 | × | 7 100 | − | g | × | 7 100 |
The equation is reduced to :
| | 20 100 | g | = | 40 100 | g | − | 7 100 | − | g | × | 7 100 |
The equation is reduced to :
Transposition :
| | 20 100 | g | − | 33 100 | g | = | - | 7 100 |
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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