Question

During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of 32 each. if you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy ?

Answer 1

Hi

Number of colour pencils in a pack
= 24

Number of crayons in each pack = 32

If we find full packs of both which has same number of pencils and crayons

We have to find L C M of 24 and 32

32 = 2 × 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3
L C M (32,24) = 2 × 2 × 2 × 2 × 2 × 3 = 96

24 pencils = 1 pack

i) 96 pencils = 4 × 24 pencils = 4 packs

ii) 32 crayons = 1 pack

96 crayons = 3 × 32 crayons = 3 packs

If want pencils and crayons same in number we have to buy 4 packs of pencils and 3 packs of crayons.

Hope this will helps you.

Answer 2

Solution :-

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 same number of colour pencils and crayons, we need to buy 4 packets of colour pencils and 3 packets of crayons.

Answer.