1. **State the problem:** Tyler's family took a taxi that charged $3.00 per mile plus a $3.00 tip, paying a total of $16.50. We need to find the distance to the museum. 2. **Set up the equation:** Let $x$ be the number of miles. The total cost is the cost per mile times miles plus the tip: $$3x + 3 = 16.50$$ 3. **Isolate the variable term:** Subtract 3 from both sides: $$3x + \cancel{3} - \cancel{3} = 16.50 - 3$$ $$3x = 13.50$$ 4. **Solve for $x$:** Divide both sides by 3: $$\frac{3x}{\cancel{3}} = \frac{13.50}{3}$$ $$x = 4.5$$ 5. **Interpretation:** The museum is 4.5 miles from the train station. --- 1. **State the second problem:** Tyler's dad bought 5 general admission tickets at $8.75 each and 5 special exhibit tickets, paying a total of $70. Find the cost of one special exhibit ticket. 2. **Set up the equation:** Let $y$ be the cost of one special exhibit ticket. Total cost = cost of general admission + cost of special exhibit tickets: $$5(8.75) + 5y = 70$$ 3. **Calculate the total cost of general admission:** $$5 \times 8.75 = 43.75$$ 4. **Rewrite the equation:** $$43.75 + 5y = 70$$ 5. **Isolate $5y$:** $$5y = 70 - 43.75$$ $$5y = 26.25$$ 6. **Solve for $y$:** $$y = \frac{26.25}{5} = 5.25$$ 7. **Interpretation:** Each special exhibit ticket costs 5.25. **Final answers:** - Distance to museum: $4.5$ miles - Cost per special exhibit ticket: $5.25$