you have a bag with 30 fireballs and another bag with 42 jolly ranchers. for a party, you want to replace 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?

Question

you have a bag with 30 fireballs and another bag with 42 jolly ranchers. for a party, you want to replace 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?
12 bags
6 bags
2 bags
3 bags

GPT 3.5 · Answer

To determine the number of bags you can make, you need to find the greatest common divisor (GCD) of 30 and 42. The GCD represents the largest number that evenly divides both quantities.

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, and 42.

The common factors for both quantities are: 1, 2, 3, and 6. Therefore, the GCD is 6.

Since you want each bag to have the same number of fireballs and jolly ranchers, and the GCD is 6, you will be able to make 6 bags. Therefore, the correct answer is 6 bags.