Paula has 54 stickers and 36 pencils that she wants to put in bags. All the bags will have an equal number of stickers and an equal number of pencils. What is the greatest number of bags she can make and have no stickers and no pencils left over
Mathematics · High School · Thu Jan 21 2021
Answered on
Given the statement:
Paula has 54 stickers and 36 pencils that she wants to put in bags. All the bags will have an equal number of stickers and an equal number of pencils.
Determine the greatest number of bags that she can make and have no stickers and no pencils left over.
Solution:
In order to solve the following problem, we need to determine the Least Common Multiply (LCM) of 54 and 36. To do so, we simply list the multiplies of 54 and 36.
Multiples of 36:
= 36, 72, 108, 144, 180, …
Multiples of 54:
= 54, 108, 162, 216, 270, …
It can be seen that the least common multiple of 36 and 54 is 108, hence Paula can make 2 bags of stickers and 3 bags of pencils.
Final answer:
2 bags of sticker and 3 bags of pencils.