Question

2. Pencils and rubbers are
available in the packets of 24
each and 32 each respectively.
If you want the same number
of pencils and rubbers in the
full packets, how many
packets of each would you
need to buy?​

Answer 1

Answer:

Step-by-step explanation:

Number of colour pencils in a pack

= 24

Number of Rubbers  in each pack = 32

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

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 Rubbers = 1 pack

96 Rubbers = 3 × 32 Rubbers  = 3 packs

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

Hope this will helps you.

Answer 2

Step-by-step explanation:

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.