4024/11 May/Jun 2020, Question 6: HCF and LCM
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Safoora buys packs of 6 apples, 5 bananas and 12 peaches and needs equal numbers of each fruit. Find the smallest number of packs of each type she must buy.
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Solution · 2 marks
- 1Multiples of 12: 12, 24, 36, 48, 60; 60 is the first also a multiple of 6 and 5
- 2LCM of 6, 5 and 12 = 60
- 3Apples: 60 ÷ 6 = 10 packs, bananas: 60 ÷ 5 = 12 packs, peaches: 60 ÷ 12 = 5 packs
- 410, 12, 5
Answer10, 12, 5
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