Let X be the amount that Ms. Kork had paid for the car.
Two fifths of X is (2/5)*X = 2X/5.
$100 more than 2X/5 is 2X/5 + $100.
Since Ms. Kork sold the car for $8,700, the equation we can write for this is 2X/5 + $100 = $8,700.
Subtracting $100 from both sides of the equation we get 2X/5 = $8,600.
Multiplying both sides of the equation by 5/2 we get X = (5/2)*$8,600 = $21,500
Ms. Kork had paid $21,500 for the car. Answer: \boxed{21500}.
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? Algebra
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1 answer