Question

Pencils come in packs of 10. Erasers come in packs of 12. Autumn wants to buy the least amount of each so she can share them equally among her friends in class. What is the minimum number of pencils and erasers Autumn should buy? Autumn should buy ____ pencils and erasers to share with her friends.​

Answer 1

Autumn should buy 6 packs of pencils and 5 packs of erasers for a total of 60 pencils and 60 erasers to share them equally among her friends.

Step-by-step explanation:

Autumn wants to buy the least amount of pencils and erasers to share them equally among her friends in class. Pencils come in packs of 10 and erasers come in packs of 12. To find the minimum amount of each to share equally, she needs to find the least common multiple (LCM) of the two pack sizes.

The LCM of 10 and 12 is 60. This means that Autumn should buy 6 packs of pencils (60 pencils in total) and 5 packs of erasers (60 erasers in total) to have the same number of each and be able to share them equally among her friends.