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JAMB Mathematics 2006 Question 8

Question 8

Data Presentation

The pie chart above shows the expenditure of a family whose income is N30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

Diagram for this question
  1. A.N28,000
  2. B.N25,500
  3. C.N15,000
  4. D.N12,500
Show the answer and explanation

Answer: D (N12,500)

Explanation

School fees is a right angle (90°), so transport is 45°. Food + housing = 360° − 135° = 225° = 3 × housing, so housing = 75° and food = 150°. Food = 150/360 × 30,000 = N12,500.