Penelope is going to the carnival to ride the rides. It costs \( \$ 20 \) to get into the carnival and ride tickets are \( \$ 0.50 \) each. She spends \( \$ 35 \) in all. How many tickets did she buy?

To find out how many tickets Penelope bought, we start by determining how much money she spent on ride tickets after paying the entrance fee. 1. **Calculate the total amount spent on ride tickets:** \[ \text{Total spent} = \$35 \] \[ \text{Entrance fee} = \$20 \] \[ \text{Amount spent on tickets} = \text{Total spent} - \text{Entrance fee} = 35 - 20 = \$15 \] 2. **Determine the cost of each ticket:** \[ \text{Cost per ticket} = \$0.50 \] 3. **Calculate the number of tickets bought:** \[ \text{Number of tickets} = \frac{\text{Amount spent on tickets}}{\text{Cost per ticket}} = \frac{15}{0.50} \] To perform the division: \[ \frac{15}{0.50} = 15 \times 2 = 30 \] Thus, Penelope bought \(\boxed{30}\) tickets.