He has 72 pencils and 24 erasers and he must use all of the pencils and erasers. If dated creates the greatest number of identical packages possible, how many pencils would be in each package?

llm

Answered on Sun Mar 06 2022

Given : Number of pencils = 72

number of erasers = 24

24 = 2 ×2×2×3

72 = 2×2×2×3×3

Hence, HCF of 24 and 72 is 24,

So, the total number of packages are 24.

Ratio of pencils and erasers = 72/24

= 3/1

So, each package will have 3 pencils and 1 eraser.