Answer: 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
