1. **State the problem:** Kerry and Stuart share Pokemon cards in the ratio 5:3. Stuart has 30 cards. We need to find how many cards Kerry has. 2. **Understand the ratio:** The ratio 5:3 means for every 5 cards Kerry has, Stuart has 3 cards. 3. **Set up the ratio equation:** Let Kerry's cards be $5x$ and Stuart's cards be $3x$. 4. **Use the given information:** Stuart has 30 cards, so: $$3x = 30$$ 5. **Solve for $x$:** $$x = \frac{30}{3}$$ $$x = 10$$ 6. **Find Kerry's cards:** $$5x = 5 \times 10 = 50$$ 7. **Answer:** Kerry has 50 cards.