Question

$15$ 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 and how many pastries will each box contain?

Answer 1

It is given that$,$

Number of pastries packets$=15$

Number of biscuit packets$=12$

So, the required number of boxes which will contain equal number of both pastries and biscuits will be the $H.C.F.$ of $15$ and $12.$

Hence, on applying Euclid’s division lemma, we have

$15=12x1+3$

$12=3x4+0$

Here, the $H.C.F.$ of $15$ and $12$ is $3$

So, the number of boxes required $=3$

Therefore, each box will contain $=$$\frac{15}{3}$

$=5$ pastries

and $=\frac{12}{3}$

$=4$ biscuit packs.

Hence, each box contains $5$ pastries and $4$ biscuits.