187k views
1 vote
Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.

2 Answers

3 votes

Final answer:

Devin can make a maximum of 12 gift bags with 4 cookies and 5 candy canes in each bag.

Step-by-step explanation:

Greatest Number of Gift Bags

To find the greatest number of gift bags Devin can make, we need to find the highest common factor (HCF) of 48 and 60. The prime factorization of 48 is 2^4 * 3, and the prime factorization of 60 is 2^2 * 3 * 5. The HCF of 48 and 60 is 2^2 * 3 = 12. Therefore, Devin can make a maximum of 12 gift bags.

Number of Cookies and Candy Canes in Each Bag

To find the number of cookies and candy canes in each bag, we divide the total number of cookies and candy canes by the number of gift bags. Devin has 48 gingerbread cookies, so each bag will have 48/12 = 4 cookies. Devin has 60 candy canes, so each bag will have 60/12 = 5 candy canes.

User Tzvetlin Velev
by
8.8k points
6 votes

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

User Lfurini
by
7.8k points