4)) Lee is decorating papers with a total of 8 heart stickers and 20 star stiokers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of \( * \) heart and star stickers and no stickers left over, what is the greatest number of pages Lee can decorate?

To find the greatest number of pages Lee can decorate with the given heart and star stickers, we need to determine the greatest common divisor (GCD) of the number of heart stickers and star stickers. Lee has: - 8 heart stickers - 20 star stickers We will find the GCD of 8 and 20. 1. **List the factors of each number:** - Factors of 8: 1, 2, 4, 8 - Factors of 20: 1, 2, 4, 5, 10, 20 2. **Identify the common factors:** - Common factors of 8 and 20: 1, 2, 4 3. **Determine the greatest common factor:** - The greatest common factor is 4. Thus, the greatest number of pages Lee can decorate, with each page having the same combination of heart and star stickers and no stickers left over, is **4 pages**. To confirm, we can check how many stickers would be on each page: - For heart stickers: \( \frac{8}{4} = 2 \) heart stickers per page - For star stickers: \( \frac{20}{4} = 5 \) star stickers per page Therefore, Lee can decorate **4 pages** with 2 heart stickers and 5 star stickers on each page.