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**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?**

Answer:

From the question, it’s given that,

Number of pastries = 15 Number of biscuit packets = 12

So, the required number of boxes that will contain an equal number of both pastries and biscuits will be the HCF of 15 and 12.

So, applying Euclid’s division lemma, we have

15 = 12 x 1 + 3

12 = 3 x 4 = 0

So, the number of boxes required = 3

∴ Each box will contain 15/3 = 5 pastries and 12/3 = 4 biscuit packs.

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