Question

Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same combinations of pencils and erasers. Name two possible combinations of bags she could have.

Answer 1

Answer:

A)The greatest number of bags she could have is 6 bags

b) The least possible combination of bags she could have is 36 bags

Step-by-step explanation:

Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same combinations of pencils and erasers. Name two possible combinations of bags she could have.

The two possible combinations not and she could have is calculated as :

a) Greatest Possible Combination

We solve using Greatest Common Factor Method

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Hence, the greatest number of bags she could have is 6 bags

b) Least Possible Combination

We solve using Least Common Multiple Method

Multiples of 12:

12, 24, 36, 48, 60

Multiples of 18:

18, 36, 54, 72

Therefore,

LCM(12, 18) = 36

The least possible combination of bags she could have is 36 bags