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0580/13 Oct/Nov 2024, Question 17: Constructing Equations

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

Using Ed's n books, Sam having triple that amount, Jane having two fewer than Sam, and a combined total of 54, form an equation and work out n.

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Solution · 4 marks

  1. 1Ed = n, Sam = 3n, Jane = 3n − 2
  2. 2n + 3n + 3n − 2 = 54
  3. 37n − 2 = 54
  4. 47n = 56
  5. 5n = 8

Answer8

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