Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?

Respuesta :

Answer:

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Step-by-step explanation:

Science club flyers = 12

Music club flyers = 18

He wants to make sure that no flyers are left over.

Find the highest common factor of 12 and 18

12 = 1, 2, 3, 4, 6 and 12

18 = 1, 2, 3, 6, 9 and 18

The highest common factor of 12 and 18 is 6

The greatest number of locations that Leon can post at is 6 locations

Science club flyers = 12

= 12 / 6

= 2

Leon will post 2 science club flyers in each location

Music club flyers = 18

= 18 / 6

= 3

Leon will post 3 music club flyers in each location

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations