2 Lunge calculates that she needs \( 8 \frac{1}{2} \) boxes of tiles to tile a study room? 21 How many boxes of tiles must she buy if tiles are only sold in full bous? 22 Why is it a good idea to have extra tiles when you are tiling?

Sure, let's address each of your questions step by step. ### **21. How many boxes of tiles must Lunge buy if tiles are only sold in full boxes?** Lunge calculates that she needs \( 8 \frac{1}{2} \) boxes of tiles to tile her study room. Since tiles are only sold in full boxes, she cannot purchase half a box. Therefore, she must **round up** to ensure she has enough tiles. - **Calculation:** - \( 8 \frac{1}{2} \) boxes = 8.5 boxes - Rounding up to the nearest whole number: **9 boxes** **Answer:** Lunge must buy **9 boxes** of tiles. --- ### **22. Why is it a good idea to have extra tiles when you are tiling?** Having extra tiles is beneficial for several reasons: 1. **Cutting and Fitting:** During installation, tiles often need to be cut to fit around edges, corners, and obstacles. Having extra tiles ensures you have enough to complete these cuts without running short. 2. **Breakage:** Tiles can sometimes crack or break during handling, transportation, or installation. Extra tiles allow you to replace any damaged ones without needing to purchase additional boxes later. 3. **Color Matching:** Over time, slight color variations can occur due to manufacturing differences or exposure to light. Extra tiles can help maintain a consistent appearance throughout the tiled area. 4. **Future Repairs:** If a tile becomes damaged in the future, having spare tiles from the original batch makes it easier to replace them seamlessly. 5. **Uniformity:** Extra tiles help ensure uniformity in patterns and layouts, especially in large projects where slight differences can become noticeable. **Answer:** Having extra tiles ensures that there are enough tiles to account for cutting, potential breakage, color matching, and future repairs, helping to ensure a seamless and efficient tiling project.