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Work: Find the solution of equation (1+m/2%)×1000×(1+m%)×500 = 660000 .
Question type: Equation
Solution:Original question:| | ( | 1 | + | m | ÷ | 2 100 | ) | × | 1000 | ( | 1 | + | m | ) | × | 500 | = | 660000 |
| Left side of the equation = | ( | 1 | + | m | ÷ | 2 100 | ) | × | 500000 | ( | 1 | + | m | ) |
The equation is transformed into :
| | ( | 1 | + | m | ÷ | 2 100 | ) | × | 500000 | ( | 1 | + | m | ) | = | 660000 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 1 | × | 500000 | ( | 1 | + | m | ) | + | m | ÷ | 2 100 | × | 500000 | ( | 1 | + | m | ) |
| = | 500000 | ( | 1 | + | m | ) | + | m | × | 25000000 | ( | 1 | + | m | ) |
| = | 500000 | × | 1 | + | 500000 | m | + | m | × | 25000000 | ( | 1 | + | m | ) |
| = | 500000 | + | 500000 | m | + | m | × | 25000000 | ( | 1 | + | m | ) |
| = | 500000 | + | 500000 | m | + | m | × | 25000000 | × | 1 | + | m | × | 25000000 | m |
| = | 500000 | + | 500000 | m | + | m | × | 25000000 | + | m | × | 25000000 | m |
| = | 500000 | + | 25500000 | m | + | m | × | 25000000 | m |
The equation is transformed into :
| | 500000 | + | 25500000 | m | + | m | × | 25000000 | m | = | 660000 |
m=20
There are 1 solution(s).
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