1. **State the problem:** We have 100,000 picture frames divided into four types: Wooden, Metal, Stone, and Plastic. 2. **Define variables:** Let $P$ be the number of Plastic Frames. 3. **Express other quantities in terms of $P$:** - Wooden Frames = $11P$ - Metal Frames = $7P$ - Stone Frames = $P$ 4. **Write the total frames equation:** $$11P + 7P + P + P = 100000$$ 5. **Simplify the equation:** $$20P = 100000$$ 6. **Solve for $P$:** $$P = \frac{100000}{20} = 5000$$ 7. **Calculate each type:** - Plastic Frames = $5000$ - Wooden Frames = $11 \times 5000 = 55000$ - Metal Frames = $7 \times 5000 = 35000$ - Stone Frames = $5000$ 8. **Calculate percentages:** - Plastic: $\frac{5000}{100000} \times 100 = 5\%$ - Wooden: $\frac{55000}{100000} \times 100 = 55\%$ - Metal: $\frac{35000}{100000} \times 100 = 35\%$ - Stone: $\frac{5000}{100000} \times 100 = 5\%$ **Final answer:** - Wooden Frames: 55% - Metal Frames: 35% - Stone Frames: 5% - Plastic Frames: 5%