Answer:
a) The greatest number of goodie bags is 18.
b) There will be 3 tickets and 2 posters in each goodie bag.
Step-by-step explanation:
a) To find greatest number of goodie bags that can be created from 54 tickets and 36 posters we will find GCF of 54 and 36.
Factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
We can see that greatest common factor of 54 and 36 is 18. Therefore, greatest number of goodie bags that can be created is 18.
b) Let us find the number of each type of giveaway in each bag.
Therefore, there will be 3 tickets and 2 posters in each goodie bag as the greatest number of goodie bags is 18.