Question

Bella is planning to write in a journal. Some entries will have one journal entry on them and other pages will have two journal entries on them. If Bella wants to make 10 entries how many different ways can she write them in her journal?

Answer 1

6 ways

Explanation:

Let x be the number of entries that are in a single page and y be the number of journals entries.

Therefore, x + 2y = 10.

Since 2y is even and 10 is even, x must also be even.

The possible values for x are 0,2,4,6,8 and 10.

The corresponding values for y are 5,4,3,2,1 and 0.

Therefore, there can be 6 ways to write entries.