1. **Problem 1: Tickets sold at the door** Tickets cost 4 in advance or 5 at the door. No tickets were sold in advance, total sales were 440. Find how many tickets were sold at the door. 2. **Formulate the equation:** Let $x$ be the number of tickets sold at the door. Since no tickets were sold in advance, total sales come only from door tickets: $$5x = 440$$ 3. **Solve the equation:** Divide both sides by 5: $$x = \frac{440}{5} = 88$$ 4. **Answer:** 88 tickets were sold at the door. 5. **Problem 2: Number of dimes in piggy bank** Piggy bank has dimes and quarters. Total value is 11.40. Karen has 36 quarters. Find number of dimes. 6. **Formulate the equation:** Let $d$ be the number of dimes. Value of quarters: $0.25 \times 36 = 9$ Value of dimes: $0.10d$ Total value: $$0.10d + 9 = 11.40$$ 7. **Solve the equation:** Subtract 9 from both sides: $$0.10d = 11.40 - 9 = 2.40$$ Divide both sides by 0.10: $$d = \frac{2.40}{0.10} = 24$$ 8. **Answer:** Karen has 24 dimes.