4MA1/2FR Jun 2023, Question 17: HCF and LCM
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
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The question, in short
Sandeep buys packets of 9 pens at £7.60 and boxes of 12 pencils at £4.80, buying whole packets and boxes only. Find the least total cost when pen and pencil counts are equal.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 19, 18, 27, 36...
- 212, 24, 36...
- 3LCM of 9 and 12 is 36
- 4Number of packets of pens = 36 ÷ 9 = 4
- 5Number of boxes of pencils = 36 ÷ 12 = 3
- 6Cost of pens = 4 × 7.60 = 30.40
- 7Cost of pencils = 3 × 4.80 = 14.40
- 8Total cost = 30.40 + 14.40 = 44.80
Answer44.80
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