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St Nicholas 2025 P6 Maths Prelim — Paper 2 Q6 Solution
Question
In a shop, cups are sold in sets of 8 and plates are sold in sets of 12. A set of 8 cups costs \$60 and a set of 12 plates costs \$75. Lim Soon bought the same number of cups and plates. He spent \$660 altogether. How many cups did Lim Soon buy?
Answer: 48
Worked solution
- The number of cups and plates must be a common multiple of 8 and 12, the smallest being 24. Cost for 24 cups and 24 plates $= 3 \times \$60 + 2 \times \$75 = \$180 + \$150 = \$330$. Since \$660 is twice \$330, Lim Soon bought $2 \times 24 = 48$ cups.
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