You have a bag with 30 fireballs and another bag with 42 Jolly Ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and Jolly Ranchers as every other bag. How many bags will you be able to make?(1 point) Responses 12 bags

Question

6 bags
2 bags
3 bags

Answer 1

To find out how many bags you can make, you need to find the greatest common divisor (GCD) of 30 (fireballs) and 42 (Jolly Ranchers).

The prime factors of 30: 2 x 3 x 5
The prime factors of 42: 2 x 3 x 7

To find the GCD, you take the common prime factors and multiply them:

GCD = 2 x 3 = 6

So, you will be able to make 6 bags, with each bag having the same number of fireballs and Jolly Ranchers.