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.

(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.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.