15 pastries and 12 biscuit packets have been donated for a school fete. These are to be packed in several smaller identical boxes

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asked Jan 25, 2018 in Mathematics by Annu Priya (18,055 points) 24 45 84

15 pastries and 12 biscuit packets have been donated for a school fete. These are to be packed in several smaller identical boxes with the same number of pastries and biscuit packets in each. How many biscuit packets and how many pastries will each box contain?

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answered Jan 25, 2018 by Annu Priya (18,055 points) 24 45 84
 
Best answer

Number of pastries = 15
Number of biscuit packets = 12
∴ The required no of boxes to contain equal number = HCF of 15 and 13
By applying Euclid’s division lemma
15 = 12 × 13
12 = 2 × 9 = 0
∴ No. of boxes required = 3
Hence each box will contain 15/3 = 5 pastries and 2/3 biscuit packets

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