1. **State the problem:** Annie bought 17 articles consisting of books and pens for a total cost of 25000. Each book costs 2000 and each pen costs 1000. We need to find the fraction of pens to the total articles. 2. **Define variables:** Let $b$ be the number of books and $p$ be the number of pens. 3. **Write equations from the problem:** - Total articles: $$b + p = 17$$ - Total cost: $$2000b + 1000p = 25000$$ 4. **Simplify the cost equation:** Divide both sides by 1000: $$2b + p = 25$$ 5. **Use the first equation to express $p$:** $$p = 17 - b$$ 6. **Substitute $p$ into the simplified cost equation:** $$2b + (17 - b) = 25$$ $$2b + 17 - b = 25$$ $$b + 17 = 25$$ 7. **Solve for $b$:** $$b = 25 - 17 = 8$$ 8. **Find $p$ using $p = 17 - b$:** $$p = 17 - 8 = 9$$ 9. **Find the fraction of pens to total articles:** $$\frac{p}{b + p} = \frac{9}{17}$$ **Final answer:** The fraction of pens to the total articles is $\boxed{\frac{9}{17}}$.