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St Nicholas 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution

Paper 1 Booklet A · Q15 · 2 marks · Whole Numbers

Question

George packed 84 pears and 96 mangoes into as many bags as possible with no fruits left unpacked. He packed the same number of fruits in each bag. The number of each type of fruit in each bag was the same. How many bags of fruits did George pack?
Answer: 3

Worked solution

  1. The number of bags is the highest common factor of 84 and 96. $84 = 2^2 \times 3 \times 7$, $96 = 2^5 \times 3$, so $\text{HCF} = 2^2 \times 3 = 12$. George packed 12 bags.

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