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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation 3000*0.5%+(5000-3000)*1%+(10000-5000)*1.5%+(x-10000)*2% = 333 .
    Question type: Equation
    Solution:Original question:
     3000 ×
1
200
+ (50003000) ×
1
100
+ (100005000) ×
3
200
+ ( x 10000) ×
2
100
= 333
     Left side of the equation = 15 + (50003000) ×
1
100
+ (100005000) ×
3
200
+ ( x 10000) ×
2
100
    The equation is transformed into :
     15 + (50003000) ×
1
100
+ (100005000) ×
3
200
+ ( x 10000) ×
2
100
= 333
    Remove the bracket on the left of the equation:
     Left side of the equation = 15 + 5000 ×
1
100
3000 ×
1
100
+ (100005000) ×
3
200
+ ( x 10000) ×
2
100
                                             = 15 + 5030 + (100005000) ×
3
200
+ ( x 10000) ×
2
100
                                             = 35 + (100005000) ×
3
200
+ ( x 10000) ×
2
100
                                             = 35 + 10000 ×
3
200
5000 ×
3
200
+ ( x 10000) ×
2
100
                                             = 35 + 15075 + ( x 10000) ×
2
100
                                             = 110 + ( x 10000) ×
2
100
                                             = 110 + x ×
2
100
10000 ×
2
100
                                             = 110 + x ×
2
100
200
                                             = - 90 +
2
100
x
    The equation is transformed into :
      - 90 +
2
100
x = 333

    Transposition :
     
2
100
x = 333 + 90

    Combine the items on the right of the equation:
     
2
100
x = 423

    The coefficient of the unknown number is reduced to 1 :
      x = 423 ÷
2
100
        = 423 ×
100
2

    We obtained :
      x =
42300
2
    This is the solution of the equation.

    By reducing fraction, we can get:
      x = 21150



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