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 fixed number of kits can be prepared without any item being unused or short. What is the number of packets of pencils purchased by her?Marks : 1Negative Marks : 0
Question
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 fixed number of kits can be prepared without any item being unused or short. What is the number of packets of pencils purchased by her?Marks : 1Negative Marks : 0
Solution
To solve this problem, we need to find the least common multiple (LCM) of the numbers 12, 18, and 10, which represent the packing of pencils, erasers, and sharpeners respectively. The LCM of these numbers is the smallest number that is a multiple of all three numbers, and this will give us the total number of kits that Sarita can prepare.
The LCM of 12, 18, and 10 is 180. This means Sarita can prepare 180 kits.
Since each packet of pencils contains 12 pencils, to get 180 pencils, Sarita needs to buy 180/12 = 15 packets of pencils.
So, Sarita purchases 15 packets of pencils.
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