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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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