Question

For a giveaway,a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag will receive an equal share of 54 tickets and 36 posters.
a) What is the greatest number of goodie bags that can be create? Explain your reasoning
b) How many of each type of giveaway will be in each bag? Explain your reasoning

Answer 1

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.  

$\text{ Number of tickets in each goodie bag}=\frac{54}{18} =3$

$\text{ Number of posters in each goodie bag}=\frac{36}{18} =2$

Therefore, there will be 3 tickets and 2 posters in each goodie bag as the greatest number of goodie bags is 18.