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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
Answer:
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Step-by-step explanation:
- JFK I was going through the with my family and I don't want to go to the gym today and I was just wondering what the heck
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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