1. **Problem 1:** Beth walks 4 km to the station at 6 km/h and wants to catch the 0924 bus. Find the latest time she can leave home. 2. Calculate the time taken to walk 4 km at 6 km/h: $$\text{time} = \frac{\text{distance}}{\text{speed}} = \frac{4}{6} = \frac{2}{3} \text{ hours} = 40 \text{ minutes}$$ 3. Since the bus leaves at 09:24, Beth must arrive at the station by 09:24. 4. Subtract walking time from bus departure time: $$09:24 - 00:40 = 08:44$$ 5. **Answer:** Beth must leave home by 08:44 at the latest. 6. **Problem 2:** 45 seats are occupied, which is $\frac{5}{3}$ of the total seats. Find the total number of seats. 7. Let total seats be $x$. Then: $$45 = \frac{5}{3} x$$ 8. Solve for $x$: $$x = 45 \times \frac{3}{5} = 27$$ 9. **Answer:** The bus has 27 seats in total. 10. **Problem 3:** Beth buys 2.4 kg onions at 1.25 per kg and 4.5 kg potatoes. Total cost is 11.64. Find cost per kg of potatoes. 11. Calculate cost of onions: $$2.4 \times 1.25 = 3.00$$ 12. Let cost per kg of potatoes be $p$. Then: $$3.00 + 4.5p = 11.64$$ 13. Solve for $p$: $$4.5p = 11.64 - 3.00 = 8.64$$ $$p = \frac{8.64}{4.5} = 1.92$$ 14. **Answer:** Cost per kg of potatoes is 1.92.