1. **State the problem:** The goals scored by Arjun, Simon, and Kath are in the ratio 2:5:8. Simon scored 12 more goals than Arjun. We need to find the number of goals scored by Kath. 2. **Set up variables:** Let the common multiplier for the ratio be $x$. Then: - Arjun's goals = $2x$ - Simon's goals = $5x$ - Kath's goals = $8x$ 3. **Use the given information:** Simon scored 12 more goals than Arjun, so: $$5x - 2x = 12$$ 4. **Solve for $x$:** $$3x = 12$$ $$x = \frac{12}{3} = 4$$ 5. **Find Kath's goals:** $$8x = 8 \times 4 = 32$$ **Final answer:** Kath scored 32 goals.