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Question:
during a sale,colour pencils were being sold in pack of 24 each and crayons in pack of 32 each. if you want full packs of both kinds, what is the least number of boxes of each kind would you need to buy
Answer:

Number of colour pencils to be packed in a packet = 24

Number of crayons to be packed in a packet = 32

We have to find out the L.C.M. of 24 and 32

24 = 2 * 2 * 3

32 = 2 * 2 * 2 * 2 * 2

L.C.M. of 24 and 32 = 2 * 2 * 2 * 2 * 2 * 3 = 96

Capacity of 1 packet of colour pencils = 24

So, for 96 pencils, number of packets needed = 96/24 = 4 packets of colour pencils each with 24 pencils

Capacity of 1 packet of crayons = 32

So, for 96 crayons, number of packets needed = 96/32 = 3 Packets of crayons each with 32 crayons

So, full packets of both with the same number of colour pencils and crayons, we need to buy 4 packets of colour pencils and 3 packets of crayons.

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