1. **State the problem:** A delivery company uses vans and trucks to deliver boxes. Each van carries 10 boxes, each truck carries 25 boxes, and the company uses 14 vehicles to deliver a total of 230 boxes. 2. **Define variables:** Let $v$ be the number of vans and $t$ be the number of trucks. 3. **Write the system of equations:** - Total vehicles: $$v + t = 14$$ - Total boxes: $$10v + 25t = 230$$ 4. **Solve the system:** From the first equation, express $v$ as $$v = 14 - t$$ 5. Substitute into the second equation: $$10(14 - t) + 25t = 230$$ 6. Simplify: $$140 - 10t + 25t = 230$$ $$140 + 15t = 230$$ 7. Solve for $t$: $$15t = 230 - 140$$ $$15t = 90$$ $$t = \frac{90}{15} = 6$$ 8. Find $v$: $$v = 14 - 6 = 8$$ 9. **Answer:** The company used 8 vans and 6 trucks.