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 created? Explain your reasoning.
(b) How many of each type of giveaway will be in each bag? Explain your reasoning.

Answer 1

6 goodie bags, 9 tickets, and 6 posters

Answer 2

Answer:(a)The greatest number of goodie bags that can be created=18

(b)There must be 3 tickets and 2 posters in each bag.

Step-by-step explanation:

(a)Total tickets= 54

Total posters=36

To find the greatest number of goodie bags that can be created ,

we find Greatest common factor of 54 and 36

54=2×3×3×3.............(1)

36=2×2×3×3...........(2)

⇒ gcf (54,36)=18

⇒ the greatest number of goodie bags that can be created=18

(b)  We know that

Number of tickets=54=18×3

Number of posters=36=18×2

So there must be 3 tickets and 2 posters in each bag.