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Nan Hua 2025 P6 Maths Prelim — Paper 1 Booklet A Q13 Solution

Paper 1 Booklet A · Q13 · 2 marks · Fractions and Decimals

Question

Roy and Jaya finished eating a jar of cookies over 2 days. On the first day, Roy ate 3 more cookies than Jaya. On the second day, Roy ate 12 cookies and Jaya ate 8 cookies. Jaya ate $\frac{2}{5}$ of the total number of cookies. How many cookies did Roy eat?
Answer: 2

Worked solution

  1. \text{Jaya ate } \tfrac{2}{5} \text{ of total, so Roy ate } \tfrac{3}{5}
  2. \text{Roy} - \text{Jaya} = \tfrac{1}{5} \text{ of total}
  3. \text{Day 1: Roy} = j + 3, \text{ Jaya} = j
  4. \text{Total Roy} = j + 15, \text{ Total Jaya} = j + 8
  5. \text{Roy} - \text{Jaya} = 7
  6. \tfrac{1}{5} \text{ of total} = 7
  7. \text{Total} = 35
  8. \text{Roy} = \tfrac{3}{5} \times 35 = 21

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