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Tao Nan 2025 P6 Maths Prelim — Paper 2 Q8 Solution

Paper 2 · Q8 · 3 marks · Fractions and Decimals

Question

After Aini gave $\frac{1}{6}$ of her stickers away and Bala gave $\frac{1}{4}$ of his stickers away, both of them had the same number of stickers left. The total number of stickers Aini and Bala gave away was 2280. How many stickers did Bala have at first?
Answer: 5700

Worked solution

  1. Aini: gave $\frac{1}{6} = \frac{3}{18}$
  2. Bala: gave $\frac{1}{4} = \frac{5}{20}$. Left equal: Aini $\frac{15}{18}$, Bala $\frac{15}{20}$ -> same numerator. Gave: 3 units (Aini) + 5 units (Bala) where 3 units = $\frac{3}{18}$ of Aini total. Setting equal numerator method: Aini total 18 units, gave 3 units
  3. Bala total 20 units, gave 5 units. 3 + 5 = 8 units = 2280
  4. 1 unit = 285
  5. Bala = 20 units = 5700.

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