Question

Cookies are sold singly or in packages of 4 or 12 how many way can you buy 24 cookies?

Answer 1

There are 10 different ways to buy 24 cookies when they are available in single units, packages of 4, or packages of 12.

Step-by-step explanation:

The question asks how many ways there are to buy 24 cookies if they are sold singly or in packages of 4 or 12. To find the solution, we can approach the problem by considering the combinations of packages and single cookies that make up the total of 24. Let's list the possible combinations:

• 6 packages of 4 cookies.
• 2 packages of 12 cookies.
• 1 package of 12 cookies and 3 packages of 4 cookies.
• 1 package of 12 cookies and 12 single cookies.
• 5 packages of 4 cookies and 4 single cookies.
• 4 packages of 4 cookies and 8 single cookies.
• 3 packages of 4 cookies and 12 single cookies.
• 2 packages of 4 cookies and 16 single cookies.
• 1 package of 4 cookies and 20 single cookies.
• 24 single cookies.

So, there are 10 different ways to buy 24 cookies based on the given package sizes.

Answer 2

Answer: 11 ways

In this case
The possible was should be:
1. 2 package of 24, 0 package of 4, 0 singly
2. 1 package of 24, 3 package of 4, 0 singly
3. 1 package of 24, 2 package of 4, 4 singly
4. 1 package of 24, 1 package of 4, 8 singly
5. 0 package of 24, 6 package of 4, 0 singly
6. 0 package of 24, 5 package of 4, 4 singly
7. 0 package of 24, 4 package of 4, 8 singly
8. 0 package of 24, 3 package of 4, 12 singly
9. 0 package of 24, 2 package of 4, 16 singly
10. 0 package of 24, 1 package of 4, 20 singly
11. 0 package of 24, 0 package of 4, 24 singly