Ms. Kork sold her car for $8,700. This was $100 more than two fifths of what she had paid for the car originally. How much had Ms. Kork paid for the car?

Ms.Kork paid $21500 for the car.

Step-by-step explanation:

Let x represent the amount of money that Ms.Kork paid for the car.

The amount for which she sold the car was $100 more than two fifths of what she had paid for the car originally. The expression would be

2x/5 + 100

Ms.Kork sold her car for $8,700. It means that

2x/5 + 100 = 8700

2x/5 = 8700 - 100

2x/5 = 8600

Cross multiplying by 5, it becomes

2x = 8600 × 5

2x = 43000

x = 43000/2

x = $21500