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Q.

During a sale, pencils were being sold in packs of 24 each and crayons in packs of 32 each. If I want the same number of pencils and crayons, then I’ll buy ____ packs of pencils and 3 packs of crayons.

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Detailed Solution

During a sale, pencils were being sold in packs of 24 each and crayons in packs of 32 each. If I want the same number of pencils and crayons, then I’ll buy 4 packs of pencils and 3 packs of crayons.
Given data,
The pencils were being sold in packs of 24 each and crayons in packs of 32.
The prime factor of pencils and crayons are,

32 = 2 × 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

Thus,
LCM =

2 × 2 × 2 × 2 × 2 × 3

LCM = 96
We know, there are 24 pencils in 1 pack.
Let the required number of packs be ‘x’.
To get 96 pencils,

x

× 24 pencils = 96 pencils

x = \frac{96}{24}

x = 4

packs
Therefore, the required packs of pencils is 4.

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