Mr. Jackson is preparing bags of treats to give trick or treaters on Halloween. He has 48 pieces of candy and 60 pieces of gum. He uses all the candy and gum, and he puts the same ratio of candy to gum in each bag. What is the largest number of bags he could have made?

What is the smallest common factor of 48 and 60? I will be happy to check your thinking.

48, but it says he uses all the candy and gum

The smallest common factor of each is 2, 3, 4, and up. Now the trick is to look at the ratio

48/60=reduces to 3/4 Since both the numberator and the denominator are common factors, then use these: 3 pieces of candy and 4 pieces of gum. Now you can answer the question.

13 because 48/60 reduces to 4/5.THE ANSWER IS EITHER 12 OR 13. NOT 7!!!

I got 12

1f he made 6 bags, with 8 pieces of candy and 10 pieces of gum in each, that would work. But thats alot for each bag. reduce 8/10 to 4/5 and you can make 12 bags.

To find the largest number of bags Mr. Jackson could have made, we need to determine the greatest common divisor (GCD) of the two given numbers: 48 and 60.

Step 1: List the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Step 2: List the factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Step 3: Identify the common factors in both lists: 1, 2, 3, 4, 6, 12

The largest number that appears in both lists is 12, so the largest number of bags Mr. Jackson could have made is 12.