Troy has an album that holds 400 photos. Each page of the album holds 4 photos. If \( 27 \% \) of the album is empty, how many pages are filled with photos?

To solve the problem, we will follow these steps: 1. **Determine the total number of pages in the album.** Since each page holds 4 photos, we can find the total number of pages by dividing the total number of photos by the number of photos per page. \[ \text{Total pages} = \frac{\text{Total photos}}{\text{Photos per page}} = \frac{400}{4} \] 2. **Calculate the number of empty pages.** Given that \( 27\% \) of the album is empty, we can find the number of empty pages by calculating \( 27\% \) of the total number of pages. 3. **Determine the number of filled pages.** The number of filled pages can be found by subtracting the number of empty pages from the total number of pages. Let's perform these calculations step by step. ### Step 1: Calculate Total Pages \[ \text{Total pages} = \frac{400}{4} = 100 \] ### Step 2: Calculate Empty Pages \[ \text{Empty pages} = 27\% \text{ of Total pages} = 0.27 \times 100 = 27 \] ### Step 3: Calculate Filled Pages \[ \text{Filled pages} = \text{Total pages} - \text{Empty pages} = 100 - 27 = 73 \] Thus, the number of pages filled with photos is \( \boxed{73} \).