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UI Post-UTME Mathematics 2018 (Model questions) Question 7

Question 7

Linear and Simultaneous Equations

A plate costs ₦x and a bow costs ₦y. If the price of each is raised by ₦20, the ratio of their prices become 5:2 respectively. If the price of each is reduced by ₦5, the ratio becomes 5:1. Express the ratio x:y in its lowest term

  1. A.4:3
  2. B.4:1
  3. C.2:3
  4. D.6:5
Show the answer and explanation

Answer: B (4:1)

Explanation

2(x + 20) = 5(y + 20) and x − 5 = 5(y − 5) give y = 20 and x = 80, so x:y = 4:1.