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WAEC Mathematics 2009 Question 12

Question 12

Linear and Simultaneous Equations

Five bottles of Fanta and two packets of biscuits cost Gh¢6.00. Three bottles of Fanta and four packets of biscuits cost Gh¢5.00. Find the cost of a bottle of Fanta.

  1. A.Gh¢0.50
  2. B.Gh¢1.00
  3. C.Gh¢1.50
  4. D.Gh¢5.00
Show the answer and explanation

Answer: B (Gh¢1.00)

Explanation

5f + 2b = 6 and 3f + 4b = 5. Doubling the first: 10f + 4b = 12; subtracting the second: 7f = 7, so f = Gh¢1.00.