JAMB Mathematics 1985 Question 9

Question 9

Linear and Simultaneous Equations

John gives one-third of his money to Janet who had ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money John had at first.

  1. A.₦45.00
  2. B.₦48.00
  3. C.₦52.00
  4. D.₦58.00
  5. E.₦60.00.
Show the answer and explanation

Answer: A (₦45.00)

Explanation

John keeps 2x/3 and Janet has 105 + x/3. 2x/3 = ¼(105 + x/3) gives 8x = 315 + x, so x = 45: ₦45.00.