Question: Jasmine bought concert tickets priced at normal dollar sign 179 $179$ and a parking pass priced at normal dollar sign 71 $71$ from an arena. She paid a total of normal dollar sign 260 $260$ for the tickets and parking pass, including the arena's service fee. What percentage of the total cost was the arena's service fee rate?
1. **State the problem:** Jasmine bought tickets for $179$ and a parking pass for $71$. The total paid was $260$, which includes the arena's service fee. We need to find the percentage of the total cost that is the service fee.
2. **Calculate the sum of ticket and parking pass prices without the service fee:**
$$179 + 71 = 250$$
3. **Calculate the service fee amount:**
$$260 - 250 = 10$$
4. **Calculate the service fee rate as a percentage of the total cost:**
$$\text{Service fee rate} = \frac{10}{260} \times 100$$
5. **Simplify the fraction:**
$$\frac{10}{260} = \frac{\cancel{10}}{\cancel{260}} = \frac{1}{26}$$
6. **Calculate the percentage:**
$$\frac{1}{26} \times 100 \approx 3.85\%$$
**Final answer:** The arena's service fee rate is approximately $3.85\%$ of the total cost.