3/7 of Auntie Lim's kueh lapis are pandan-flavoured and the rest are original flavour. She then bakes 14 more original-flavour kueh lapis. Now 1/3 of all her kueh lapis are pandan-flavoured. How many pandan-flavoured kueh lapis does she have?
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Worked Solution
Step 1: Pandan : Original = 3 : 4 (from 3/7 pandan means 4/7 original).
Let pandan = 3k, original = 4k.
Step 2: After baking 14 more original: original = 4k + 14. Pandan unchanged at 3k. New total = 7k + 14.
Step 3: Pandan is now 1/3 of total: 3k / (7k + 14) = 1/3.
Step 4: Cross-multiply: 9k = 7k + 14 → 2k = 14 → k = 7.
Step 5: Pandan = 3k = 3 × 7 = 21.
Correct answer: 21
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