UI Post-UTME Mathematics 2018 (Model questions) Question 9

Question 9

Quadratic Equations

A student bought some packets of pens for ₦2,160. If she had paid ₦24 less for each packet, she could have bought three more packets. How many packets did she buy?

  1. A.20
  2. B.10
  3. C.15
  4. D.5
Show the answer and explanation

Answer: C (15)

Explanation

(2160/x − 24)(x + 3) = 2160 simplifies to x² + 3x − 270 = 0, so x = 15 (check: ₦144 each; ₦120 × 18 = ₦2,160).