Math, asked by revantjoshi3022, 6 months ago

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Sarita wants to gift a stationery kit, which includes a pencil an eraser and a sharpener, to some kids in her
village. She went to a wholesaler for purchasing these items. The seller sells Pencils in packing of 12. erasers
in a packing of 18 and sharpeners in a packing of 10. She purchases the minimum number of packets of
pencils, erasers and sharpeners so that a fix number of kits can be prepared without any item bemg unused or
short. What is the number of packets of pencils purchased by her?
O, 15
O 18
012
O 10​

Answers

Answered by ankitkumarsah65384
0

Answer:

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Step-by-step explanation:

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Answered by RvChaudharY50
3

Given :- Sarita wants to gift a stationery kit, which includes a pencil an eraser and a sharpener, to some kids in her

village. She went to a wholesaler for purchasing these items. The seller sells Pencils in packing of 12. erasers

in a packing of 18 and sharpeners in a packing of 10. She purchases the minimum number of packets of

pencils, erasers and sharpeners so that a fix number of kits can be prepared without any item bemg unused or

short. What is the number of packets of pencils purchased by her ?

A) 15

B) 18

C) 12

D) 10

Solution :

from given data we have :-

  • The seller sells Pencils in packing of 12 .
  • erasers in a packing of 18
  • sharpeners in a packing of 10.
  • and, she needs minimum number of packets of pencils, erasers and sharpeners .

So, in order to find minimum number of packets , we will find LCM of 12, 18 and 10 .

Prime factors of 12 18 and 10 :-

→ 12 = 2 * 2 * 3

→ 18 = 2 * 3 * 3

→ 10 = 2 * 5

LCM = 2 * 2 * 3 * 3 * 5 = 180.

Therefore, she need minimum 180 pencil 180 sharpeners and 180 erasers, so that a fix number of kits can be prepared without any item being unused or short.

Now,

→ Number of packets of pencil = (Total number of pencil) / (pencil in each packet) = 180 / 12 = 15 packets.

Hence she purchased 15 packets of pencil .

Extra :

→ Packets of eraser she purchased = 180 / 18 = 10 packets.

→ Packets of sharpeners she purchased = 180 / 10 = 18 packets..

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